Keep up hope or give up?

So I'm sure that I'm going to get a lot of stupid advice, but I'm also hoping that somebody will at least be sensible and respond properly to this. Four months ago I met a girl online, I know right off the bat that will have gotten most of your hackles up, and anyway, we exchanged phone numbers almost right away, spent the next month talking, on the phone pretty much every night, and after a month we met up for the first time. She lived in London while I'm a couple of hours away, and so we spent the weekend together, and had a great time, really did click, and planned to see each other again a couple of weeks later. Unfortunately because of University, and it being in the middle of my exams, it meant that I wasn't able to get up there, and we put things off for another 3 weeks until my exams were over. But we put up with it, and after that we were seeing each other every two to three weeks, but a couple of weeks ago we both realised that we couldn't really cope with the distance. We have both been badly hurt in long distance relationships in the past and trying to deal with distance again was proving really difficult for both of us, so we mutually decided to end things. Now I know that most people would at this point just walk away and accept it, but here's the thing. I can't explain why, but something in my head just keeps telling me that she is the right person for me, and that she is the person I want to settle down with and could see myself, and she had said the exact same things to me too, and last week I got a text from her which said that she was really sorry that things couldn't work out at the moment but that she felt that they could in the future once we're both a bit older and in a situation where there isn't such a distance between us. So right now my head is all over the place, part of me is saying that I need to believe that things could be different down the line, and try and start things up again once I've graduated and am not stuck at a University at the other end of the country, and part of me is saying that I need to give up, accept that it's not meant to be, and move on. What the hell should I do?

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