It is permissible to marry a woman from the People of the Book. Allaah says (interpretation of the meaning):
“(Lawful to you in marriage) are chaste [muhsan] women from the believers and chaste women from those who were given the Scripture (Jews and Christians) before your time”
[al-Maa’idah 5:5]
Although we say that it is permissible, and we do not doubt that there is a clear text concerning that, nevertheless we do not think that a Muslim should marry a kitaabi woman (a woman of the people of the Book), for several reasons:
1 – One of the conditions of marriage to a kitaabi woman is that she should be chaste, but there are very few chaste women to be found in those environments.
2 – One of the conditions of marriage to a kitaabi woman is that the Muslim man should be in charge of the family. But what happens nowadays in that those who marry women from kaafir countries marry them under their laws, and there is a great deal of injustice in their systems. They do not recognize a Muslim’s authority over his wife and children, and if the wife gets angry with her husband she will destroy his household and take the children away, with the support of the laws of her land and with the help of their embassies in most countries. It is no secret that the Muslim countries have no power to resist the pressure of those countries and their embassies.
3 – The Prophet (peace and blessings of Allaah be upon him) encouraged us to look for Muslim wives who are religiously committed. If a woman is Muslim but is not religiously committed and of good character, then the Muslim is not encouraged to marry her, because marriage is not simply the matter of physical enjoyment only, rather it is the matter of Allaah’s rights and the spouse’s rights, and preserving his household, his honour and his wealth, and bringing up his children. How can a man who marries a kitaabi woman be certain that his sons and daughters will be raised according to Islam when he is leaving them in the hands of this mother who does not believe in Allaah and associates others with Him?
Hence even though we say that it is permissible to marry a kitaabi woman, it is not encouraged and we do not advise it, because of the negative consequences that result from that. The wise Muslim should choose the best woman to bear his children and think in the long term about his children and their religious upbringing. He should not let his desire or worldly interests or transient outward beauty blind him to reality; true beauty is the beauty of religious commitment and good morals.
https://islamqa.info/en/45645