That would be a no-go zone for me. Im an atheist, but my bf is a believer, and I think everyone is entitled to their own personal beliefs, but should not try to push their own beliefs on others.
In my experience, religious types who attend church, and/or let religion play a major part in their lives, are usually pretty screwed up, and want to hide their sexuality, their partner and lots of other aspects of their lives from their family and other "religious" friends.
So in other words, they're quite happy to live a lie by lying to their family and friends, just so they can fit in with a religious culture that teaches them lying & same sex relationships will see you burn in hell.
This always plays on their mind, so they are never truly happy in a same sex relationship and deceiving their cult & other members of it.
In the end, they have to give up one or the other, & most times it's the religious cult that wins out.