I'm rushing to go home, but I wanted to give you something to play with...
Go to PubMed and do searches of "EPA thyroid", "DHA thyroid", "gluten thyroid", and "celiac thyroid".
That should give you plenty to look at, and save me a little time... :-)
And yes, I'm talking about an O-3 deficiency. You could even do a search of "GLA thyroid" while you're there, that may play a role too...