Sharks Underwater Grill is located right in the park, and specializes in seafood dishes:
https://seaworldparks.com/en/seaworld-orlando/dine-and-shop/dining/sharks-underwater-grill/
In fact, there are plenty of places within the park that serve foods that don't have meat in or on them.
You will find an assortment of fruit, various entree salads, and other sides (fries, pickles, muffins/pastries) at all quick service locations.
Seaport Pizza offers cheese pizza slices.
The Expedition Cafe has shrimp lo mein and a vegetarian mixed entree (lo mein, rice, egg roll) at their Asian station as well as garden canneloni or a shrimp pasta platter at the Italian station.
Spice Mill has both vegetarian chili and a veggie burger on the menu.
Mama's Pretzel Kitchen has meatless warm pretzels.
Unless your daughter is quite finicky along with her meat restrictions, I would think there would be no need to go hungry while you enjoy all the park has to offer.