All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger. We ask Allaah to exalt his mention as well as that of his family and all his companions.
Cosmetic surgery is of two kinds: First, to remove a defect which disfigures the original physical structure. Removing this kind of defect is permissible in Islam since it is a form of treatment. The Prophet said: "O slaves of Allaah, treat your selves,…" [Abu Daawood and At-Tirmithi]
Second, if the surgery is performed to attain beauty and increase one's attractiveness, and not to remove a defect, then it is not allowed because it is considered as changing the creation of Allaah.
If the reality is as you mentioned in your question, then there is no harm to undertake the surgery you are asking about. But it should be performed by a female doctor if at all possible.
Allaah Knows best.