See this thread (especially the first answer). Getting to 13% bodyfat (a very, very low BF for a woman) is not something you'll likely do simply by eating paleo.

My suggestion is to stop worrying about your weight, eat enough to avoid hunger, and reduce your bodyfat % by increasing your lean body mass. See SuppVersity's recommendations for Anorexic Dad, Stanley Smith. Or check out Martin Berkhan's Leangains.

A side effect of exercise is hunger.

IMO, CrossFit 4-5 times a week is excessive. Check out the book "Body by Science" - they recommend one high-intensity workout per week. Recovery time is critical to muscle growth.

How about playing more often, instead of exercising per se? Indoor climbing is fun, for example.

Eat more saturated fats. That's the appetite suppressant. And stop trying to meter yourself.

Please consider whether 13% is really an appropriate goal from a long-term health perspective - that's lower than the body fat percentage of most female athletes. 17% is well within an appropriate body fat range for athletic females.

This is especially true if you have any possible intention of reproducing within the next few years.

I've noticed when people eat lots of protein, they get hungry a few hours after their last meal and I've blamed it on not being keto-adapted. Being keto-adapted is the best appetite suppressant I know of. And it helps you lose weight rapidly.

To become keto-adapted, you have to be able to quickly switch from sugar burn to fat burn. Right now, with your regular protein ingestion, you always have the ability to easily convert those amino acids into sugar. So you are still a sugar burner. Being primarily a sugar burner also slows weight loss.

Personally, I noticed that when I cut my carbs to less than 50 and went for 7-9 or even 10 hours between meals, I could feel when I was switching over to ketones and the fat just melted away. BTW, I rarely do any kind of intense exercise. Plus I'm old. And my mom and sister are overweight so I don't have any sort of super genetic endowment.

Below is a graph I posted with a blog I did to explain why carbs make us hungry and can contribute to fatigue especially on a low-nutrient diet. Absent the adrenal fatigue issue, the graph may apply to anyone consuming lots of protein because by doing so you are offering your body the opportunity to continue to burn sugar rather than fat for energy. Whether or not your body will do so probably depends in part on where you are in your hormone cycle, how much sleep you get, and other factors including congenitally preset genetic switches.

1) 4-5x per week crossfit (=sustained glycolitic activity) = carbohydrate above baseline (100g) NECESSARY if you do not want to run into endocrine problems... so if you insist on going "paleo" instead of just "eating reasonable and healthy" you add in some tubers with your first meal post workout to get up into the "at least 150-200g of carbs per day zone"

2) drinking a ton of liquid I just hope that you do not restrict salt, if you do, do not wonder that you feel like a wreck... (no carbs = already difficult to retain salt, heavy training = salt lass, tons of water = salt loss < no salt = blood sugar problems and "adrenal fatigue" rofl I love this term)

3) you eat a high protein, low fat almost no carb diet. that is not sustainable for someone with a decent degree of leanness. If you want low carbs, you need high fat moderate protein,... if you increase your carbs you still have to add some fat... where do you think your body is going to get its energy from? Not only is it (in the long run not possible) to run on protein alone (as an energy source) the gluconeogenic mashinery is fired by cortisol and cortisol + glucneogensis + low energy diet = muscle loss + fat gain

Women are NOT supposed to have 13% body fat -- you will become ill. Stop worrying about body fat percentage and just eat healthy. If you have body image disorder get help from a qualified professional.

Yeah, I would 3rd the call for more saturated fats. Personally Nicole I disagree with you when you suggest that your calories are "50% fats" at the moment, from a few bits of chicken skin and a teaspoon or two of ghee. You are eating large amounts of protein which is not an ideal long term fuel.

I think in order for you to feel healthier and less hungry, I would add in more butter, animal fat, coconut oil etc - saturated rather than polyunsaturated all the time from the chicken. But as others have mentioned, you are already lean, so no tweaks that remain within normal healthy limits are going to give you the arguably unhealthy results that it seems you may be after...

Could you be putting on muscle? Do you look and feel like you are getting thinner? Are you feeling healthier? If so, I would not worry too much about what the scales say.

Actually, 1lb/week sounds like a good rate of fat loss, if kept up steadily. You can lose a lot of water weight quickly in the first few days, but after that, fat has to be burned and this takes a little more time.

I was always hungry when I got very serious about paleo (I didn't care what I ate as long as it was low-carb). At first I thought it was my blood sugar going out of control, but then I started getting bowel pain and my hunger was unreasonably unsatiable - I would snack on walnuts all day (I take really strong omega-3 pills) and still be hungry despite the fiber and fats. I read a pamphlet about parasites and realized I had all the symptoms, including the bowel pain that felt like an appendix bursting, but on both sides (one pain near each hip) and on either side of my navel. I'm doing a parasite cleanse now, and the hunger is gone.

Hunger can also be a sign of thirst (see The Body's Many Cries For Water), or some other health issue. Also, it's more paleo-style for us to eat after we've "earned our food" - that is to say, that before we were "civilized," we had to hunt and gather before we ate. So it's part of our history as humans to eat after exercise, not necessarily before it. We expend energy, our muscles break down for energy, and then we eat to replenish that energy, and to rebuild damaged tissues.

you do know that the blender that makes the protein shakes and chews the food for you adds additional caloric value to the food just as cooking your meats and vegetables does the same thing. i do the same thing and it probably doubles the caloric values and doubles the insulin response we get when we eat it. my blender broke yesterday so i will do a experiment. for one month no more paleo smoothies and puree squash soup i will just eat the food like a cave man and see if i start to loose weight again. i have been unable to crash through the 231 lbs barrier for a month now. everybody wish me luck. life is just one grand old experiment after another.

To add my $0.02 to already good answers...

I personally never feel satisfied after eating chicken, even a lot of it. I would eat more saturated fat as Huey said, especially beef.

If you still have cravings/hunger after following all the very good recommendations outlined above (decreasing exercise, eating less chicken and more meat, eliminating protein powders, cutting out coconut flour, eating more fat, etc), you may want to look into experimenting with Jack Kruse's leptin reset protocol.