But hold not to the guardianship of unbelieving women: ask for what ye have spent on their dowers, and let the (Unbelievers) ask for what they have spent (on the dowers of women who come over to you).
Such is the command of God: He judges (with justice) between you. The reason why Allah Almighty didn't allow Muslim women to marry non Muslim men including the People of the Book, is because women especially in the Middle East 1400 years ago used to culturally follow their husbands' traditions/religions.
We must know that according to Islam most of the People of the Book (Jews and Christians) are perverted transgressors, deceiving and in some cases are hypocrites.But, regarding marrying a non-Muslim woman on a temporary basis, both Sayyid Sistani and Sayyid Khamenei allow a Muslim man to marry a Christian or a Jewish woman.It is lawful by Allah Almighty for Muslim men to marry only Jewish or Christian women, but not lawful for Muslim women to marry non Muslim men of any faith. Let us look at , revealed before your time,- when ye give them their due dowers, and desire chastity, not lewdness, nor secret intrigues if any one rejects faith, fruitless is his work, and in the Hereafter he will be in the ranks of those who have lost (all spiritual good)." until they believe: A man slave who believes is better than an unbeliever, even though he allures you. But God beckons by His Grace to the Garden (of bliss) and forgiveness, and makes His Signs clear to mankind: That they may celebrate His praise.""O ye who believe!If you do not do so, there will be chaos and a great corruption in the world.” That being said, the Islamic rulings will now be examined.Both Sayyid Sistani and Sayyid Khamenei state that a Muslim woman cannot marry a non-Muslim man, either permanently or temporarily.
Therefore, we should try to find a spouse who is religious and who will lead us closer to Him, not one who will bring us further away.