Is it permissible for a Muslim woman to marry a non-Muslim man, while ensuring her children are raised in an Islamic manner?

A Muslim woman marrying a non-Muslim is not permissible in Islamic law, based on the Almighty's saying: "Neither are they lawful for them, nor are they lawful for them." A Muslim woman must learn her religion, adhere to it steadfastly, commit to the prescribed Islamic dress (hijab), avoid appearing before non-mahram men, and refrain from participating in forbidden competitions. She should seek Allah's help in finding a righteous husband, and she may offer herself to someone whose religiosity and character she approves. Muslims who know her must help her learn her religion and find a righteous husband.