The uterus, breast and ovaries all need Iodine to function properly. I had large uterine fibroids, fibrocystic breast disease and ovarian cysts. I increased my Iodine intake to 50mg - 100mg per day for 6 months, and I now have no uterine fibroids, no FBD and no ovarian cysts. I still have 25mg of Iodine per day as a maintenance dose, because I am prone to these problems.
My Mum died of Breast Cancer at age 48, she suffered for years with uterine fibroids, FBD and ovarian cysts. Before she was diagnosed with the cancer she had a hyterectomy to remove her uterus because she had large fibroids. The doctors put her on HRT afterwards, and I believe that this, combined with a diet low in iodine, is what caused the cancer.