Can a Christian woman marry a Muslim, deist or an atheist man?

I previously asked a question in this group. I've decided to convert to Christianity, but there is something on my mind.

I'm from a country where Islam is really dominant, and there are not many Christians around me, nor many opportunities to meet them. When I go to church, I rarely see someone from my own country. It's usually people from different nations and backgrounds.

So, if I meet someone, he most likely to be Muslim (although I don't plan to marry religious Muslim), or he could be deist or atheist. Do any of you have experience with these kinds of relationships? Is it allowed in Christianity?

(I haven't decided on a specific Christian denomination yet, I'm following Christianity in general. I'm asking this question here because I believe most people here have more knowledge about Christianity than me)