Mine, too, and this includes fragrances (perfume, air freshener, candles, etc.).
I'm no longer dairy-free because I was losing too much weight, but I'm gluten-free, yeast-free, soy-free, and corn-free. I went corn-free and yeast-free because I'm allergic to both, but I truly think going yeast-free would have helped me even if I were not allergic to it.
My hair is still falling out, but I'm much better otherwise. After 10 years on meds, I was able to wean off my thyroid medications (the equivalent of 150 mcg of Synthroid) by changing my diet and avoiding chemicals as much as possible.