<<Disclaimer: Verify this information before applying it to your situation.>>

Thank you for all your replies.  In summary, it is best to make reservations and 
let the staff know that you have Celiac Disease/gluten intolerance both at the 
time of reservation as well as when you arrive at the restaurant.  Most often 
the chef or manager will come out to greet you and address your needs.  Even 
at most counter service food venues, they will be able to accommodate you.

One poster provided me with an e-mail address for an individual who deals 
with special dietary requests.  She sent me a wealth of valuable information.  
The e-mail address is:

[log in to unmask]

You may also check the following websites:

http://disneyworld.disney.go.com/wdw/common/helpFAQ?
id=HelpFAQDiningPage

http://disneyworld.disney.go.com/wdw/common/guestServicesDetail?
id=GuestServicesSpecialDietaryDetailPage

As with everything Disney, it sounds like they will bend over backwards to 
make your stay enjoyable. 

I will post again when I return if I find anything else noteworthy to pass on.

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