The medical literature says even traces of gluten can make a Celiac sick. It doesn't say only "ultra-sensitive" Celiacs will get sick from traces of gluten.
To the OP, you will find out if you are sensitive to products made in a facility that also processes wheat. Some people find they are and some are not.
I'm really very thankful that companies voluntarily put the "made in a facility statement" on their products. I wouldn't even have known that kind of sensitivity was possible if it weren't for reading here. And if I didn't know it, I would still be sick. I was just trying to let ya know in case you find out those things "get" you too.
Anyway, the first few months are difficult but you will find yourself able to enjoy fairs and car shows when your purse is stuffed with little goodies you CAN eat!