There are some other potential issues, too, depending on what her faith is. If she’s a Christian, the issue of sex will probably come up. Obviously, you don’t know this from her online profile, but what if she doesn’t want to have premarital sex? Would that be a deal-breaker for you? Would you be willing to go to church/synagogue/whatever with her?
I’d recommend against it, because of that and the other reasons mentioned above.