We had someone in one of my past wards who had Celiac disease back in 2009. She had a rice cake that was set aside on the tray, in its plastic wrapper.
I actually had to go on a strict gluten-free diet shortly after that, coincidentally. I used a certain brand of corn tortillas that didn't give me issues (*Mission brand); I put them in zipper bags or something (but if I had to do it again, I'd probably use the small clear bead bags by the crafts they sell at Walmart, or something else; the plastic bag I used made some noise). I don't have Celiac disease, though. I can eat wheat, other products containing gluten, and milk products as long as I don't eat very much rice, now, and as long as I take food grade diatomaceous earth every once in a while (but back then, I didn't know that). I don't have to take the DE very often at all anymore (maybe once a month).
I think a lot of people didn't believe me that I had issues with gluten, especially as I didn't have issues when we first met (which made it kind of hard). To be fair, it wasn't just gluten, though (but also lots of other things). I pretty much could eat cabbage, baked vegetables, bananas, corn chips (Mission brand), corn tortillas (Mission brand), corn generally, yogurt, meat (sometimes), rice (or so I thought; I was fine with rice as long as I wasn't eating wheat), and a few other things. My favorite things to eat ended up being baked vegetables/meat and vegetable corn bread (no wheat flour) tied with it. The baked vegetables were so much healthier-feeling than stir fry, and tasted better, too (you could even bake rice with it, and it could turn out better than in a rice cooker, as long as it was a convection oven). I baked stuff in an 8-inch cast-iron pan in a toaster oven, and a glass pan when I did rice.
It's a good thing I don't have to be on that diet, still, because I probably would have suffered a *lot* from malnutrition, eventually (although I certainly did notice a huge difference when I was on the diet). However, now I know a lot of things that would have made things nutritionally easier for me back then (like lacto-fermenting food is one way to enhance nutrition, and provide extra flavor—and probiotics). I could have made all kinds of sauerkraut, which probably would have helped me with other issues I had, too (but I wasn't very trusting of fermented foods at the time, since I didn't know much about them). FYI, even yogurt is lacto-fermented. Plus, it really helped me to be the one to lacto-ferment my own food to begin to appreciate it.
As to what condition I have, I don't know, but it's probably something like chronic (as opposed to acute) mercury toxicity, since mercury (lead, and perhaps other heavy metals) can block enzymes needed to digest wheat gluten and milk casein (and food grade diatomaceous earth is really good at chelating heavy metals; plus, I had a lot of symptoms of it—but you never know). Rice is really good at absorbing toxic metals in the soil if they're present, too (and a number of foreign rices tested had high levels of mercury and arsenic).
*I don't know if Mission brand corn stuff is still free from gluten-contamination, but it was at the time I ate it. I did make sure to verify stuff like that, and contact the manufacturer if necessary.