This may sound "sappy" but here is what I think...
First: back story
I met my boyfriend Ryan 3 years ago in January. We met at a bar (most romantic I know), and since the moment I met him, we have been inseparable. The longest time we've been apart (since I MET him) is a whopping 3 days when I went to visit my grandma for a weekend. We spend almost 24 hours a day together (we work for the same business) and, frankly I’ve never been happier. We almost never fight and when we do its small and over in at most an hour or two, and we never seem to run out of things to say.
When we met there were many reasons not to be together such as our past romantic histories, general flaws in character, and so on. We were both told to "stay away from that person" and for some pretty good reasons.
The point is this. We did not stay away. We did not because it just wasn’t an option. I believe there is no point in starting a relationship with a person if you can honestly ask yourself "should I?” It shouldn't be possible not to, if it is a mutual attraction. Anything else would be grossly unfair to you and to her.
I believe any relationship needs 100% dedication. You need to be invested and willing to commit yourself, even when things go bad.
What is the point of love if there is no passion? I think many people these days (maybe always) feel that true, passionate "Love" is just a story, but it is only when you let it be. It is only when you are impatient and decide to settle for something less.
So, in short, I think you should ask yourself, "Can I actually decide to NOT pursue this person?"
If the answer is yes, you could bring yourself to do it, then you have your answer.