Oh no - I got tested for that same virus (I don't have it,) but I read up on it because doctors thought I might have it. That's a really hard one to deal with. I'm so sorry.
While I don't know if going gluten free will solve your issues, I do know that it's actually really easy to do once you get used to it. I'm allergic to wheat again (I was born allergic to wheat, then tolerated it during my teenage years, but once I hit about 22-23 my wheat allergy came back. I know about giving up gluten.) If you do it right, you'll lose a weight and gain energy anyway. Gluten-free floury foods are NOT worth it - they are very high in starch to make up for the lack of gluten, which means the glycemic index is very high on them. Eating too much of them can be worse for you than eating whole wheat. Give up sandwiches, wraps, pizza, crackers, breaded foods, and anything else with flour in it. Instead, use lettuce in place of bread for wraps or put all the sandwich ingredients into a salad instead. I promise you'll find out if going gluten free helps you so much faster and more easily if you avoid all flour.
Good luck! Have fun with it - experiment, try new foods, cook in new ways... might as well learn to enjoy the dietary change.