I have the same problem. I am hypo but not gaining any weight. Some time ago I also started to suspect gluten intolerance. But the weird thing is that I can't tolerate rye and oats but can perfectly eat wheat. Is it possible that you have gluten intolerance to only rye and oats but not wheat ? My hypothyroid gets worse immediately (huge drop in body temp and dry hands) as soon as I eat oats.