Have a great time, your daughter will be treated and fed like a princess!
Several tips:
If you have an iphone, download an app called "Gluten Free Disney Dining", it was an amazing resource for us during our 7 day stay in Disney. I think it costs $1.99, but well worth it.
With specialty dining always indicate, when you book, that one or more of the guests have a food allergy, and remind them at the entrance. You will get a visit from the chef on duty and they will go through your options.
When you want a quick service, just tell the server that you "have an allergy", they (for some odd reason) do not understand the words Gluten Free or Celiac. But every single one of them instantly responds to the word "Allergy", and they will always go to get a cook/chef.
Good GF food was available at almost every single place we ate at. Hot Dog's were good, buns for sandwich's were very good. GF deserts were yummy. It takes a little longer to get your meal, but you can be assured that they have made it from fresh ingredients and away from contamination.
Character meals were a delight, my 2 Celiac's both had an outstanding breakfast with Waffles, scrambled eggs, hash browns, bacon, and some yummy caramel banana sauce for the waffles (ps the GF waffles were better than the non-GF versions).
Try Tortilla Joes in DDT, as the food was almost all GF, and was VERY, VERY yummy.
Several no go's.... La Brea Bakery, Wentzles Pretzels, Corn Dog Castle.