I was raised Christian and am now atheist. I would have a very difficult time being romantic with anyone who calls themself Christian. I have come to despise all levels of it. I don't believe in the existence of the super natural. I don't believe in the Christian creation myth. I don't believe in the resurrection or any miracles of Jesus. I believe most churches are cults that we give a free pass to be cults because it's more socially acceptable. I believe religion did great harm to me growing up and I believe it does great harm to many other young people. I could go on, but that's the gist. If someone was somehow Christian and agreed with me on all of those points there might be a chance but I'd still view it as strange that they didn't see the whole thing as a scam and renounce their faith.

People from other religions I may have similar problems with because even though religions are different their effects are often similar. Even a staunchly pro LGBT church/religion I would have difficulty meshing with because my problems go so much deeper than that.

An exception would be people who are "spiritual" but not "religious". While I myself am quite skeptical, I am still open to the idea that there's more. And even if there's not, sometimes it's fun and/or beneficial to pretend that there is. So long as they themselves are similarly open to the ideas that they could be wrong and that others could be right I think I could get along quite well with people like this. The truth is I still have moments I would call religious experiences, but I don't believe they're revelations of truth. They're still interesting and fun to talk about. Like dreams.