Both and consult a naturopath. I have autoimmune hypothyroid, the only way I am able to control it is to eat a grain free diet and use coconut oil, coconut cream, key nutrients suited for my thyroid (medicincal mushrooms, etc)........
At this time I also take a form of natural thyroid......I went off of it last year and that was a major mistake......I ended up with a TSH level of 140 something and almost ended up in a coma......
Have been gluten free for many many years.......and also consumed raw organic coconut oil for many years and an all organic diet etc; since I was born-despite this I still have thyroid issues......
This is an excellent book on the subject - he is one of the best in terms of thyroid- if not the best.
http://www.amazon.com/exec/obidos/tg...X0DER&v=glance