My son used to be the same way but we slowly started introducing meats in meals or in accompany to meals he does like. Chicken is the big winner in our household. He also loves "beef sticks" like beef jerky (not the best healthy food but it is a source of protein so our pediatrician said GO FOR IT!. There are also some great cook books out there that have sneaky ways to get your kids to eat foods that they won't eat, you usually see them for "hiding veggies and fruit" but they also make them for hiding meat products as well. Also, just to get her protein in, I would try alternative sources like nuts if she is able, you can chop these up and hid them in lots of different foods as well. We tried turkey bologna and chicken patties on buns as well as just the simple "meatballs" from spaghettios too. We even got desperate enough to give our son pepperoni's by getting him to eat them as a "special snack" and eventually we would put them in his mac n cheese and he loves that now.
I say keep on trying, get sneaky like us mom's have to do quite often when it comes to doing what is best for our lil angels, and my big secret is to STAY POSITIVE and "sell" the newly introduced meats in a different way both visually stimilutating and fun as well as looking yummy.... we roll up our turkey bologna like wraps and sometimes hid them inside a piece of lettuce or we make a turkey bologna sandwich and use holiday cookie cutter shapes and cut them out of the sandwiches and only serve those on the plate with a food that your child does love. Rewards and praise always worked wonders for us, as in "if you eat your yummy roll up or special spooky sandwich bit you may have some apple dippers or a fruit snack! If your child still refuses we have had to give the choice of eating what is in front of them and getting a dessert or an extra book at bedtime or an extra 15 minutes of playtime or bathtime or making the choice of not eating it and opting out of getting dessert for that night and no snacks later after the meal as well. I always am careful to make it seem like it is my child's choice and that always curbs the argument or fussiness and for us it worked after only a few short times of FOLLOWING thru with whatever we laid out and expected and made clear to our son. Good Luck I hope this helps!