I'm not quite sure why you're thinking about this as having anything to do with exploiting someone as a given. And no, there' s nothing "bad" about anyone not wanting to have a sexual partner, be that temporary or permanent.
You don't want and don't feel good about having a sexual relationship any time soon, is what I hear you saying. I also hear you saying this person you're seeing would respect any limits you set. So, unless you're not planning on being honest with someone who wants a sexual relationship, by telling them that's not something you want, there's no exploitation here.
On the other hand, if you are asking if it's a problem to keep that information to yourself and not share it with someone because you think that so long as they have the idea you'll have sex with them in time -- when you know that isn't what you want -- then yes, that's a problem, because that'd be you being intentionally deceptive with someone to keep them around for what YOU want from them by not telling them something you think may result in them taking a pass on a relationship with you because that's something they want.
Really, if someone wants a sexual relationship and you don't, the only sound and interpersonally healthy -- and kind, for that matter -- answer is for both of you to be honest about that difference, and either then just part ways OR create a relationship together that isn't sexual, where the person who wants a sexual relationship can seek that out with someone who also wants that. Also, I'm not sure why all you're finding under non-sexual relationship content is religious, but it seems to me that that might be that wording. Platonic friendships, for example, are non-sexual, and goodness knows there's a lot out and about in the world about friendship.
If you're looking for content on romantic relationships that aren't sexual, you might want to look at sites and resources for asexual people, who have produced a lot of that content. But again, this is going to have to be something you talk with him about, honestly, and that also works with what he wants. If he wants a sexual relationship and you don't, and he wants a romantic relationship that's also sexual, then you two probably just aren't a fit in this regard. We've talked a bunch in the past about how just because someone shows up who isn't a total tool and who you like and feel attracted to doesn't mean that they're going to be a right fit for you or you for them. Pieces like someone being nice and us liking them are just what we'd need if we both ARE a good fit, want similar things, and both wanted to pursue the same kind of relationship. If we're not, it doesn't matter how sweet either of us are, or how attracted: if something just isn't right for someone involved or we don't want the same kind of relationship, that kind of relationship just isn't going to work for one or both people involved.
I also think that knowing you, and your history, pretty well, that it'd be pretty bad for you to be in anything where you felt you had to be sexual with someone to keep them around. You've been there before, after all, and been sexual when you haven't felt right about it to avoid being alone or without a boyfriend, and that strikes me as a pretty big backstep for you, but that's also just something that isn't good for anyone. I'd also encourage you to check in with yourself and make sure that some of what's up here isn't the same-old ongoing pattern where you're trying desperately to take any romantic opportunity afforded you and make it fit, even when it doesn't, because you'd rather have something that wasn't a good fit for you and someone else than not have a romantic relationship, you know? I think it's sound to say that when you -- you being anyone -- is thinking about being intentionally deceptive with someone (if that's what you're saying here), that's usually a HUGE clue that you're feeling desperate in some way. And desperation never is the stuff that makes for any kind of great ongoing relationship, be it a friendship, a sexual relationship, both, or any other kind, nor does going at anything from a place of desperation result in feeling good about yourself.
What's your therapist had to say about this, if you don't mind sharing?
Is that really bad? I've tried researching non-sexual relationships, but all that comes up is religious-based material, which is not very helpful at all, and, seeing as religious objection has been part of my anxiety story, I am very keen to keep away from anything which links religion with sex at all. I am attracted to him, and I do genuinely like him, it's not that.