Well, probably you and your doctor know why you had the hysterectomy. We're just plain patients here. I do know many women have very painful endometriosis, and a hysterectomy is sometimes the answer to a pain free world.
I suggest you review with an informed doctor, your thought that the thyroid antibodies related to Graves' can attack other organs.
I think you can safely assume that your thyroid, uterus and gall bladder went into hazardous waste, and then to the dump.
YOur comment about your eyes makes me wonder if you are having eye symptoms that could be thyroid eye disease (TED.) A visit to a good eye doc who is familiar with TED should help you with this.
How often do you have your thyroid labs done? I suggest, since you are not feeling well, it is worth a call to your endo's office, ask them to order a thyroid panel for you Perhaps you need a change in your thyroid hormone dose. I presume you are taking it every day, on an empty stomach, with a full glass of water first thing in the morning? That is the way to do it, for then symptoms and labs will be reliable.
Of course everyone on this post knows how very difficult Graves' is. It is very very hard to have, with many frustrations along the way.
I had a thyroidectomy, too, and have been very happy with that decision. But I do have labs at least once a year, or when I feel I have symptoms of either hypo or hyper, so that I am on the right dose.
Hope this helps a bit.
TED 2008-present. OD for pressure on optic nerve 02/02/10
Eye muscle surgery 09/23/10 Upper eyelid surgery 02/01/11
Lower eyelids with grafts from palate, 10/5, 10/25/11
Graves dx/thyroidectomy 1959-Synthroid from 1980