There is currently only one person running this blog, although submissions are always open to anyone who wants to contribute. She is heteroromantic, to the best of her knowledge, but will try to answer your question as best she can.
Mixed-orientation relationships can work out, or so I’ve heard, as long as the two can come to an agreement that suits them both on the subject of sex. The fact that you’ve said you respect her not wanting sex speaks well for that. The next question would be whether or not she would be interested in a relationship like that. Her romantic orientation will play a significant role in determining that; do you happen to know what hers is? If she’s romantically attracted to women, then I’d say you have a pretty good chance; if she’s not, well, then it’s far less likely. In the end, though, the only real way to know for sure is to ask her about it. I don’t know how out you are or how accepting she is, so of course that’ll affect whether or not you want to have an open conversation about this with her, but assuming you’re out and she’s okay with it, talking to her about it really is the only way you’ll ever find out for sure. Finding out about her romantic orientation is a good way to determine if it’s worth the risk to you, but sexuality and romance are both very tricky things. Unexpected things can happen.
And bear in mind that even if you don’t bring it up, these kinds of feelings can do funny things to friendships. I once lost a very close friend because I started developing stronger feelings towards him and couldn’t figure out what to do about it; I started acting strangely and never explained, and the friendship fell apart. I’m not saying that this necessarily will happen to you, but keep an eye out for that sort of thing. If you start to feel like that might be happening, you might need to have a conversation about your feelings regardless so that the two of you can work through it together. That way, she’ll at least know why you’re acting strangely, and if you end up needing to distance yourself for a bit in order to deal with these feelings, it won’t look like you’re just abandoning her for no good reason.
Of course, also bear in mind that the person running this blog has never even so much as attempted to pursue a romantic relationship with anyone. I may not be the best person to ask, since my ideas on the subject are purely theoretical. For a more informed opinion, I’d try asexual advice; they seem to be more geared towards relationship advice.