This issue has a set of rules actually, If you are pertaining to a Muslim woman if she can marry a Christian male then the answer is absolutely NO it is stricly not allowed. Then on the other hand for Muslim men well they can marry a Christian woman and even Jew races but with 2 certain circumstances that is if the woman is a certified real Christian/Jew and lastly if she does not have done any rebels in Islam and then convertd her religion to Christian/Jew.