I understand how scary it is to go to a restaurant and to leave your fate in the chef's hands. I also understand having control of everything at home and having to hand that over to a chef.
Based on everyone's reviews, I had to let go and give Disney a try, and let them show me what they could do for my DD7 and her allergies. She's gluten/casein free.
I was VERY impressed with how Disney has educated their staff and taken over how they deal with allergies. The first day home, my DD cried, saying she missed her "personal chefs"!!
Having said this, it's still VERY important if something doesn't seem right, to speak up and ask. They are human, so be proactive for yourself and ask questions.
EVERY counter/kiosk/cart has a notebook that lists out the ingredients used in the products that you can consumer there. They are instructed to show you the notebook and for you to more or less clear the item before ordering it. Some of the managers are able to offer suggestions, but the cart/kiosk CMs were not allowed to offer suggestions, just show you the book and let you decide.
All of the bread that we came across was the EnerG tapioca breads/rolls, buns, etc.