It is forbidden for a Muslim woman to marry a non-Muslim. A Muslim man, however, may marry a non-Muslim woman. A traditional Muslim wedding requires a formal betrothal to  take place, followed by a marriage contract and then the wedding ceremony itself, where these vows are spoken:    

    Bride: "I, _______________, offer you myself in marriage in accordance with the instructions of the Holy Qur'an and the Holy Prophet, peace and blessing be upon Him. I pledge, in honesty and with sincerity, to be for you an obedient and faithful wife."    

    Groom: "I pledge, in honesty and sincerity, to be for you a faithful and helpful husband."