KJ,
jumping in here,, I also had thyroid issues. I was diagnosed with thyroid nodules and watched them (with annual ultrasounds to monitor them) for about 25 years before one of them calcified and developed cancer. I ultimately had thyroid removed along with one parathyroid gland which was also enlarged. You may also be able to monitor yours without treatment for awhile. And as my Dr said,, if you have to get cancer,, thyroid is the second "best" to have as far as treatable and curable,,, I had mine removed in 2004 and am doing fine from that.
There is no research yet to prove a connection,, but it does seem awfully suspicious that the thyroid and parathyroid issues would all be on the same side as AN. My AN was not found until 2008, however, from the size of it at diagnosis,,, 2.5 cm,, I'm quite sure I had had it for awhile with no real symptoms. I had surgery in 2011 to have it removed.
Good luck to you.
Jane