Often people mistake this restriction as a sign of inequality that degrades women, when in fact it’s the exact opposite. …anndddd the best way to find the reasoning behind why Muslim women are not permitted to marry non-Muslim men is by quoting Hadiths and even the Quran itself 
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^ This Hadith talks about a few of the rights of a Muslim wife, which are the responsibility of the husband. If a Muslim women married a non-Muslim, he would not be required to abide by these rules, therefore the wife’s rights could be lessened. By marrying a Muslim man, a Muslim women is assured all the things listed in the above Hadith.
^ The above Hadith is another proof that this commandment was to save the rights of Muslim women rather than take them away. The Hadith gives Muslim wives permission to take money (just enough to suffice - “ma’roof”) from there husbands when necessary if the husband is not properly providing for the family. A Muslim woman would not be able to do this with her non-Muslim husband, because he would not consider it one of her rights.
^ Again, specifics on how the Muslim husband should treat his wife. A non-Muslim wouldn’t have to abide by this. Same reasoning, just more proof.
^ Muslim men are not to talk about intimate relations between himself and his wife with others. It is a part of the wife’s privacy as well as the husband’s. Once again, a non-Muslim husband is not restricted from talking about such things with others.
^ This is a major Hadith which covers this issue perfectly. Muslim men are to allow their wives to visit the Mosques without their permission. This might be a problem with non-Muslim husbands, since they might expect to be told every time the wife leaves the house, or they might not even allow them to go to the Musjid at all, for that matter.
^ It says “A believer”, meaning Muslim men. They are to respect Muslim women. If a Muslim women married a non-Muslim, he wouldn’t necessarily be required to act the same.
The basic reasoning behind why Muslim women are not allowed to marry non-Muslim men is because a Muslim man is required to follow through with certain responsibilities that a non-Muslim man is not. So, it’s really all about strengthening the women’s rights, rather than restricting them.
we’re discussing WHY Muslim women ARE NOT PERMITTED to marry non-muslims. Why they disobey this command is a totally different story.
