Should I chase her or let her go?

I would like opinions on this so that I can make a final, definitive decision and move on with my life. I am at a crossroads here.

I met a girl in my college. First it was the usual niceties, then I gradually began to take a liking to her so I asked her for her number. We texted pretty much every other day and our banter was always teasing. She remembered the days of my interviews and wished me luck on them. I worked up the nerve to ask her to hang out twice---once for coffee and once to a sporting event and she said yes both times.

When the semester ended, on the last day, I asked her to see a movie with me. We kind of made tentative plans (she told me "we'll see") and on the day before the scheduled day, she called and canceled on me because she said she was going to be at her relative's house. I thought that was it so I moved on with my life.

However, my birthday was a week later, and I got a text from her wishing me happy birhday--she somehow remembered. We texted back and forth the whole day. Spurred by that, I decided to give it another shot so 5 days later I asked her out again. She didn't give me an answer right away and waited 2 days before saying she was busy. I gave her a couple other options but he gave excuses.

So I told her to contact me when she wanted to hang out.

After four months, there was no response from her. She was on my mind a whole lot, so eventually I re-initiated with a text relating to an inside joke and she responded. I replied and she responded again---two texts in a row, in fact. I had dropped hints about stuff in my life and she asked questions about them.

However, two weeks later I haven't responded. I was originally going to ask her for coffee or lunch but then I remembered how she avoided me before and didn't want to seem like a desperate guy or an orbiter. I mean, I gave her the option to contact me when she was free and she didn't.

At the same time, she DID respond to my texts when I re-initiated, in our usual teasing banter. Some people say that means she might still have a soft spot for me or that it means something because otherwise she would have ignored me. Most likely, it's just her being friendly though. And what kind of girl would give up a guy for four months if she even had a little interest in him? I already gave her a chance, after all. I hope she saw that.

I need to make a decision whether to act on this and ask her for coffee or lunch or just forget about her altogether and use my energies somewhere else.

She doesn't use the phone to talk and instead just texts because she claims she loves texting, and she does. So anything I would have to do would have to go in text form. Or I could just forget her.
Should I chase her or let her go?
7 Opinion