My twins are 3 and eat about 70% Paleo, while I eat about 90%. I believe children's carb needs are generally higher than most adults, so my boys still eat a little rice, a few baked "Paleo" goodies with some honey and some cheese and yogurt. One doesn't drink milk, but the other loves it so much that I let him have some each morning. I also made a compromise with sweet corn since they love fresh sweet corn on the cob. I've found that letting them have rice, cheese and a little corn on occasion when we are out at friend's houses, potlucks, etc. has allowed them to feel normal and to partake of the food that everyone else is eating. This has helped them overall to be much more willing to eat whatever I give them at home. I don't think they see their own eating as that different than other kids yet and I think that's a good thing for now. Where you compromise or if you compromise is really a personal choice though. I personally don't think you need to give up all dairy products if you don't want to and if you believe your daughter tolerates milk well. Yogurt is such a great toddler food!
At home we eat a lot of scrambled eggs, coconut milk smoothies, bacon, sausage, other meats, fruits and veggies -- any thing you can chop and is easy to chew is good for a toddler (lightly steaming vegetables makes them easier to chew). My boys still have some cheese and lots of good full fat raw yogurt. I make a lot of stews and soups and use a slotted spoon to pull the chunks out for the boys to eat. For example, they won't eat my Chicken Sausage soup but they'll eat the pieces of sausage, chicken, mushrooms and brussel sprouts if I put them separately on their plates. Here's a recipe I developed when my boys were about 17 or 18 months old for apple pineapple salad.
It's great for introducing raw veggies like carrots, butternut squash and zucchini. It's still one of our favorites (My blog is for low oxalate dieters -- mostly Paleo/WAP in case you are wondering. . .) You might want to find the recipe for Paleo meatloaf and mashed cauliflower on the same site. This is my boys favorite Paleo meal.
Edit: Here's the link to the Paleo meatloaf and if you scroll down you'll see a picture of my boys favorite Paleo meal: Paleo meatloaf, mashed cauliflower, broccoli and applesauce. http://lowoxalateinfo.com/paleo-meatloaf/