i have to agree that you'll be happy everywhere! my fiancee has celiac as well and we atel anywhere we wanted. just either have disney dining make a note when taking the reservation or tell the host/hostess or server. my fiancee particularly impressed with the california grill, where the chef not only came out and asked what she was thinking of ordering and explained the minor substitutions he'd make, but even brought out gluten free rolls and a separate butter dish to make sure there wasn't any cross contamination.
the only spots you may struggle is counter service, but you can always usually work around that with a salad or something without wheat flour.
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