She needs time... Should I try asking her out again? She should be phoning me? Right?

Anonymous
So there's this girl which I've been having a crush on for quite a few years already but she had a bf... She broke up with her boyfriend of 4 years 3 months ago. I've known this girl for about 2 years now... we rarely talked until about a few months ago when she broke up with her bf. I asked her out for dinner a couple days ago and I gathered up enough courage to ask her out and tell her about my feelings. The ironic part was before I asked her out she told me about some other guy that had asked her out and she rejected him because she promised herself some time to be single before she steps into the dating scene again. But I just had to ask her out because I couldn't keep it in anymore...

Anyways, she told me she was sorry right after I told her because she wants to be single for a while because her x boyfriend hurt her... But she said we could hang out still and get to know each other better. What do you guys think? Is she trying to be nice and be just friends? Or do I have to be persistent and keep trying? At the end of the night she told me to call her whenever if I wanted to do something and just gave me a hug. Wouldn't the ball be in her court? Do I have to keep initiating things here? Is she even worth pursuing? Guy/Girls opinions please...
She needs time... Should I try asking her out again? She should be phoning me? Right?
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