Why has Islam permitted a Muslim man to marry a Christian or Jewish woman while she retains her faith, and what is the wisdom behind that? Also, how can children be raised under the care of a non-Muslim mother if the father is the one who passes on the religion?

Marrying non-Muslims was generally prohibited after several stages, with the exception of a Muslim man marrying a woman from the People of the Book, under certain conditions. The wisdom behind this lies in the fact that the People of the Book share some aspects of religion with Muslims, which could be a means for them to embrace Islam due to the guardianship of the Muslim husband who respects her religion. Conversely, a Muslim woman marrying a man from the People of the Book is not permissible because he would not respect her religion and her Prophet, and he cannot be trusted to raise the children upon Islam. The woman from the People of the Book must not display disbelief in the Muslim husband's home or raise the children in her religion, and the father must ensure his children are raised upon Islam. Generally, it is better to avoid marrying women from the People of the Book.