Khula before starting to live with the husband
For the girl who has been married and has not yet started living with her husband, the marriage has not been consummated. In this case if the girl demands a Khula and the husband assents to it, then as per the Shariah, there is no Iddah (mandatory waiting period) for the girl and she can marry again immediately after the Khula as well. As Allah Ta’ala says in the Holy Quran:
O Believers! When you marry the believing women and then divorce them before you have touched them (i. e. had sexual intercourse with them), then no waiting period is (obligatory) on them for you which you may start counting. Surah Ahzaab (33:49)
It is also stated in Fatawa A’alamgiri, Vol. 1, Kitab Ut Talaq.