I'm in love with someone who is religious, and confused. Help.

Hello, I need to vent about a current relationship that I'm in and I need some advice on what to do. I feel lost, hurt, broken, confused, and just one of those moods where you want to pack up and go away for a week.Four months ago he (22) messaged me (23) on a gay dating app, we quickly started texting and a week later met in person. I consider it to be the best day of my life, the day I met my best friend. There was an instant connection. I never felt so at home or so comfortable, natural with someone. Things moved very fast and we spent a lot of time together.I quickly learned that he was Catholic. At first, this was difficult for me as I told myself I would never be with someone who was religious. And many people told me not to take this relationship any further because of that. But none of this mattered to me. I loved him.The past few months have been nothing short of amazing and we spend almost every weekend together. We've never done anything sexual with each other. This doesn't bother me because I'm more or less asexual. But for him, I know this is rooted in his religious beliefs. He has told me he has slept with "many guys" in the past. I too have slept with guys but that was because I was craving intimacy and that's the only way I could find it at the time. Otherwise I've never felt a sexual attraction to romantic partners in my life, ever. I’m not denying that I am attracted to him, he’s beautiful and adorable. But I don’t feel a sexual attraction to him. I’m not sure if that makes sense. We have physical intimacy in the form of cuddling, holding hands, and kissing.Anyways, this last weekend we had a discussion about our relationship, and he told me that he does not consider himself gay though he does not deny his SSA. I asked him if it's okay that I call him my boyfriend and he said no. He said he considers our relationship a deep, intimate friendship. He doesn't want to use the term "boyfriend" due to the sexual connotation. And he believes that everyone has a same-sex-attraction to an extent, but that his for me is much greater. I told him all my feelings for him, and my longing to have a long-term relationship with him. What I described was essentially a same-sex partnership without the labels "gay", "boyfriend", etc. And apparently we are on the same page as far as what he wants from this.In regards to rejecting being gay, he said-"It's true, I dislike the way contemporary culture and people pervert the notion of friendship between guys that aspire to share a great bond. I don't believe society is going to support us anything soon. Plus it already created a huge prejudice on both sides. That is why -- and for couple more reason -- I don't consider myself gay. Nor do I consider in seeking or believe in gay marriage -- honestly.I never want to seek something that I don't believe is true. Gay marriage is one of those thing... Gay marriage is completely different from having an intimate friendship with someone -- so don't hear what I'm not saying.Meanwhile I am passionate for making sure people aren't crudely discriminated for wanting something beautiful, and that people like me aren't given a lower good that isn't due to them." One thing that confuses me about him, is that even though he doesn't identify as gay and rejects the lifestyle he submerses himself in it by going to like LGBT bars and wants to live in a "gay" neighborhood like Hillcrest in SD or W. Hollywood. Hm. Anyways...I'm incredibly grateful for what we have. We're both committed to each other and have expressed our feelings for each other. What we have is all I honestly have ever sought and envisioned in terms of a relationship or companionship in life. The labels don't really matter to me. And that's why I haven't left. Because what would I be looking for that I don't have now? Just someone who will call me his boyfriend? And again, I don't want sex anyways.But I'm also afraid. Afraid that I'll eventually be made to feel that my attraction to him is a disorder. And then slowly all affection and physical intimacy will be cut off. Then there will come a day where he denies his attraction and love for me entirely and marries a woman because that's what's best for him and he was "never gay" anyways. And where would that leave me?