There's no reason to expect that your wife won't be able to nurse. Chances are that with appropriate steps taken, it'll go great! Just do the best you can to insure no mom/baby separation, lots of skin to skin time etc. And even if those are interrupted, chances are that breastfeeding will will go well.
Best videos ever - from Jack Newman's International Breastfeeding Center, a world renowned center for managing breastfeeding and feeding difficulties.
Given the risks associated with feeding formula (decrease in IQ, increased risk of infections, increase risk of death from diarrhea and other gut issues, increased risk of various kinds of childhood cancer) it would seem prudent to 1)plan for success and 2)get support on board should issues come up. A board certified IBCLC is a good place to start though admittedly, it does occasionally take time to find the right one for a given set of issues. And heck, if formula does become necessary, don't sweat it. Do the best you can to avoid it but if it's needed just keep moving forward and know you're doing the best you can.
Fwiw, I would be very comfortable using the recipes from WAPF. If raw milk is of concern, make the formula with pasturized milk. Just heat the milk to the temp necessary to kill potential pathogens - You can find it in scientific references regarding the pasturization of human milk. You could even just use already pasturized organic milk from the store as the base for the recipe.
Basic trouble shooting:
Even if mom has major supply problems, it's simple enough to use a nursing supplementer at the breast to feed baby supplemental feeds (commercial or homemade formula) until mom's supply catches up. Or if mom seems to have a primary supply problem that is not resolving, it can be used as long as baby is nursing.
Latch issues - if baby doesn't latch on in the first few hours, don't hesitate to use a nipple shield. Many IBCLC's and post partum nurses at the hospital discourage their use and wrongly so. If a baby isn't latching well in the first 24 hours, everyone starts to get a little nervous and right around 24h a bottle will be given (most of the time). If a nipple shield, used properly, had been introduced much early, baby will generally be at the breast making everyone much more comfortable and (essentially) eliminating the need to consider a supplemental feed.
I help many, many people with breastfeeding in a pretty intensive way and can tell you that as long one is committed to breastfeeding, it almost always works if everyone stays open to the options (ie using a nipple shield and/or at breast supplementer if needed) and relaxed. While it generally works well right away, occasionally, it takes time for a baby to get started on feeding well from the breast.
The last four babies I worked with went thusly - shared with permission from the moms who are glad to use their stories to help others -
2 weeks postdates (ie late), failed pitocin induction, cesarean birth -no suck reflex at birth (which was overcome over the course of four or so hours), @4h finger feeding baby with a supplementer, continued for 24h as needed.
@24h, baby was able to latch with shield and supplementer at breast - sometimes. By 48h, baby was able to regularly latch with shield and supplementer. Milk was in at 72h, baby still needed supplementer and sheild - was not able to transfer milk on her own without supplementer. Mom's supply was excellent.
By the end of the fifth day, baby was able to nurse at breast, with shield, without supplementer every time. many attempts were made to wean baby off shield. only occasionally would baby nurse without shield and only for a moment before refusing. goal is having baby happy at breast so I encouraged it's continued use with occasional attempts to wean from it. One day, at four months, baby went on without the sheild and has been nursing without it ever since.
This baby had a smallish lower jaw and possibly just needed some time to grow a bit so she could latch more deeply in order to transfer milk on her own.
uneventful normal unmedicated birth - many attempts to get baby to latch resulted in one minimally successful latch after about 3 hours. Baby had a very small lower-jaw, and mom had very firm breast tissue - this can be a tricky combination as it's baby's lower jaw that does most of the work of breastfeeding.
At 12 hours, baby was given 30 mL formula (a totally inappropriate amount for a 12h old baby) at the hospital as they were not able to get baby to latch. after that, we were not able to achieve a successful latch until, after many attempts, we used a nipple shield and supplementer.
At 3-5 days, it was clear that supply was marginal so mom pumped after feedings to increase supply. Another option is to not pump, but continue feeding baby at breast with supplementer very frequently, switching sides frequently to stimulate letdown, take herbs and medications (domperidone) to increase supply and eventually, most will reduce and finally eliminate supplementer.
This mom didn't want to use any formula though so she was very committed to pumping. Long story short: baby was dx'ed with a type 4 tongue-tie, had a frenotomy and still couldn't nurse without the shield and supplementer. Mom bottle fed a lot and pumped a lot. Slowly increased feedings at the breast with the shield after her supply was up from the frequent pumping.
After 5-6 weeks, she began nursing without the shield occasionally but baby still got lots of bottles. At 8-9 weeks, baby suddenly started nursing very well - no shield. Mom returned to work. Baby gets bottles at daycare and nurses happily at home in the am, at drop off at daycare, at pickup at daycare, in the evening at home. She sleeps through the night and has been since six or so weeks of age. Mom encourages others to not be stressed if breastfeeding is not going well because it'll all work out eventually.
Planned cesarean at 39 weeks due to breech presentation. Extremely physically adept. From birth, baby could roll both ways!
No latch was achieved for approx 24 hours in spite of continuous contact of mom and baby and continuous excellent lactation support. Baby was born at a Baby Friendly Certified hospital so there are no procedures that will interrupt nursing. Still, baby wasn't nursing. B/c of the certification, I couldn't get a nipple shield from the hospital staff, the IBCLCs were unavailable on the weekend and locally there wasn't one to be found (fwiw they can be purchased at Target).
At 24h baby did successfully latch but came off repeatedly for all feedings through 72h. Baby and mom both stayed very calm and were very patient. While it was probably frustrating for baby to not be able to maintain a latch, her calm persistence was really impressive. By day four, baby had lost more than 10% of her body weight, by day 5, 14% in spite of frequent feeds, breast compression.
Keep in mind that cesarean birth often delays Lactogenesis II ('milk coming in") until day 5. And C-sec babies loose more weight anyway due to loosing fluids from mom's IVs and lack of being squeezed through the birth canal.
At 72h, mom started pumping (hand expression is better for colostrum removal so we did both. great video here) Fed baby colustrum via feeding tube attached to syringe while baby would nurse. Used breast compression to increase milk transfer.
Also, at the beginning of the fourth day, we supplementing at breastwith formula as needed to keep baby actively nursing at breast until she was content. Mom really didn't like pumping so we didn't do much of it. Maybe just a couple of times.
At 4.5 days, in the middle of the night, mom's milk came in, baby went to the breast, we immediately discontinued use of the supplementer and it was clear things had turned around. From the beginning, this baby has been willing to sleep 4-5 hour stretches at night, initially being woken in order to insure adequate stimulation of mom's breasts, then later, we left her to her own sleep cycle.
She regularly sleeps 4-7 hours at night without feeding, makes up her intake during the day. This baby needs to be left unswaddled during the day in order to insure adequate feeds. If swaddled during the day she will sleep and sleep andsleep meaning she doesn't get enough food and mom's supply goes down. Unswaddled during the day, swaddled at night is perfect for her.
cesarean birth. mom: 'flat nipples'. baby: very very small lower jaw and mouth. stage 3 tongue tie. mom reluctant to allow a frenotomy. I suspected that even with a frenotomy, like baby 2, this baby still wouldn't nurse well right away but would need to grow a bit in order to breastfeed well - that tricky combination of small jaw, small mouth and firm maternal breast tissue was at work.
At one week, baby was exclusively bottle feeding and mom was pumping. Showed mom how to properly use a nipple shield and supplementer at breast. Baby was resistant at times due to prior frustration with unsuccesful latch attempts. Over the course of 3 or so feedings in a row, baby started eagerly accepting feedings at the breast with supplementer. Bottle feeds initially would cause this baby to start refusing the breast, though generally I find "nipple confusion" not to be a problem.
At 14 days, baby was always willing to feed at breast with supplementer, shield and breast compression. Mom pumped after feeds and had a great supply.
At 21 days, baby was able to move easily between bottle feeds and breastfeeds (with supplementer, shield and breast compression) but still only in the "football hold" or upright in the baby bjorn (loosen straps to appropriately drop baby to the right level).
Somewhere between 3 and 4 weeks, baby was willing to feed without the supplementer, consistently and at 4 weeks, baby started feeding without the shield and is now taking almost all feeds at the breast in that wonderful easy, automatic, don't have to think much about it sort of way. She will also take a bottle.
From the beginning she's been sleeping from about 7 pm to 8 am waking to feed at 8:30pm, 10pm, 3 or 4 am and 6:30am.
Have your help/resources lined up in advance. Wishing you the very best!