Hello and welcome to e health forum.
Radioactive iodine (RAI) is often chosen for treatment of conditions associated with overactive thyroid including hyperthyroidism and thyroid cancers.
RAI treatment is based on the fact that the thyroid actively accumulates iodine, which it uses to produce thyroid hormones required for normal body function.
The therapeutic action of RAI is via disruption of the function of the thyroid cells - the more radioactive iodine given, the more cells cease to function. As the cells stop functioning, excessive amounts of thyroid hormones are no longer produced, and symptoms of hyperthyroidism begin to disappear.
In your case the side effects of such therapy will be limited to short term effects like sore throat, nausea, fatigue, etc.
There will be no effect on other organs like kidneys, nor any effect on the sexual desire and sexual function.
But once the treatment is completed, you will need lifelong therapy with thyroxine supplements, to prevent hypothyroidism related symptoms.