Any Disney restaurant can accomodate any allergy. You just need to preplan. Mention it when you make your dining reservation...call the dining line again two weeks before you travel and ask to get in touch w/ the restaurant. Mention it again when you check in for your dinner and mention it to the server. You should not have any issues.
If it makes you feel any better...a girl I work with went to Tony's Town Square with no reservation and was able to get a gluten free pizza made for her.