there is a well documented link the thyroid and proper sex hormone release. When the thyroid is not functioning properly other hormone levels in the body often shift. So even if historically your thyroid labs have been in range that doesnt mean they were optimal. Iodine, selenium and the various co supplements will help restore optimal thyroid function which can go a long way to restoring hormonal balance in the whole body.
The thyroid has also been directly linked to diabetes so an Iodine protocol seems like a no brainer.