So, if it is accepted, like your situation, it should never be a matter of criticism.What could bring shame to any Muslim man, and I believe to any man whosoever, is not to marry a woman from a different religion.
On the other hand, if your question is about the social situation, the Muslim society should never object something unless the Islamic law outlaws it.
Since this is the case, how can Islam take chances on the future of its daughters by giving them into the hands of people who neither honor their religion nor are concerned to protect their rights?
A marriage between a man and woman of different faiths can be based only on the husband’s respect for his wife’s beliefs; otherwise a good relationship can never develop.
Thus, while a Muslim man is permitted to marry a Christian or Jewish woman, a Muslim woman is not allowed to marry a Christian or Jewish man. First, the man is the head of the household, the one who maintains the family, and he is responsible for his wife.
And while Islam guarantees freedom of belief and practice to the Christian or Jewish wife of a Muslim, safeguarding her rights according to her own faith, other religions, such as Judaism and Christianity, do not guarantee the wife of a different faith freedom of belief and practice, nor do they safeguard her rights.