I’ve answered this in other threads but here is the lss:
In general, allergies and intolerances are a big deal at the parks and will be taken into consideration.
rhat being said, Quick service might be harderfor picky eaters than a table service.
My grandmother does not eat Mexican food due to a plethora of reasons, but we were eating at la hacienda. She asked if she could get the kids chicken fingers with mashed potatoes and green beans. She hasn’t stopped talking about how good those string beans were since,
They will definitely accommodate at table service, but be prepared for quick service. If you are picky, do what we did at a couple of places due to some pickiness. Ask where the non mobile order ordering line is and go there and order. You can ask for stuff taken out, double check allergies and place the order. It takes a little longer, but it works.