every cell in your body needs iodine, not just the thyroid. the thyroid is where the highest concentration of Iodine can be found in the body. you need it for normal cell death and every hormone receptor and to help regulate all kinds of things like fat and iron.
everyone should supplement Iodine and everyone will benefit.
and, if you have your ovaries still, they can make thyroid hormone, too. the ovaries are the second greatest concentration of Iodine in the body after the thyroid. iodine melts cysts in ovaries and breasts.
that should jump-start any further research you require.