TL;DR - Go here, especially if you're a Celiac's sufferer. Comfort and safety.
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After looking through some other restaurants without success, I was glad to see that this place did gluten-free sandwiches. And---oh boy!---do they do them well.
I went in and said to the server that I wanted a gluten-free sandwich, at which point I was shunted to another server (different uniform; manager? supervisor?) at which point they took my order, checking for any other allergens and the severity of the ones that I had. I paid for the sandwich and I was out in maybe a minute more than anyone else but with a sense of safety. Outstanding.
Just under twice the normal wait period for the non-Celiac suffers, out came the sandwich (a reuben). It was delicious. If I had two minor quibbles they would be:
1) It wasn't cut, thus it was hard to keep the mountain of food contained in the bread. Splitting it in two would help with this; and
2) It wasn't toasted. It seems strange that in a facility capable of doing this they wouldn't have a dedicated toaster or stovetop cooker that could have toasted up the bread.
Despite the lack of toasting, the bread was amazingly durable for gluten free bread and stuck together while eating the sandwich. It would have just been beyond the Pale had the sandwich had some crunch to it.
Simple. Delicious. No worry. The sandwich didn't end up as a pile of mess in the wrapper that would require using a fork/spork to eat the rest.
Even if you're not a Celiac sufferer, go here. For this type of sandwich I would have paid this kind of "Disney prices" practically anywhere in the U.S.
I will be going back there tomorrow and the next time that I visit Disney.