A Salafi sheikh says that it is not permissible for a woman to adopt the surname of her husband.

Answer

The Salafi Sheikh talks drivel. A woman can adopt the surname of her husband. Neither the Qur'aan nor the Hadith prohibits this. He generalizes from the Qur'aanic aayat which instructs that adopted children retain their names. This is to prevent confusion so that the adopted child does not grow up believing that he/she is the child of his/her adoptive parents.