Relationship without sex?

So, I'm a 20 year old female.

I've been diagnosed with Vulvodynia. I do masturbate a lot, and since I was experiencing a lot of pain when I fingered myself I had it checked up, and have had a bunch of different treatments to get rid of the problem. I've seen a bunch of gynos but no one can find the real problem, I've gotten all kinds of explanations, some claim it's "just in my head" but I don't think that would be the case.

As you might understand I do not want a dick up in my vagina, since just my fingers gives the sensation of someone stabbing me there. Not very nice, really.

So I've been browsing around here and found how Important sex is for a relationship, that it's just friendship if there's no sex, people divorcing over no sex etc.. this made me worried. I would love to be in a relationship and I refuse to believe the difference between a friendship and a relationship is just sex. I don't cuddle, I don't kiss, I don't form my life with friends, but that's what you do with a partner, no?

Anal is out of the question and I am so insanely grossed out by giving head that I literally throw up. And I do not think there's many guys who like getting their dick covered in puke, :/ I really can't bring myself to do it. It's not my gag-reflex, it's just that I find it gross. Sorry, but that's the way it is.

What should I do? Can I forget about a relationship? If not, how do I get in a relationship without leading a guy on to thinking he's getting sex when this is impossible? After all most guys (And girls) expect sex in a relationship..