Is it permissible to remove hereditary fatty deposits under the eyes, knowing that the purpose is purely cosmetic and corrective, not medical, and that they make one appear older and fatigued, especially without the use of cosmetics?

If the fatty cysts cause noticeable swelling and disfigurement in the eyes, attracting attention and causing psychological harm, then there is no blame in removing them with a cosmetic procedure to restore the eyes to a moderate state. This is considered a treatment for defects and a removal of harm, not a request for beauty or an increase in attractiveness.