I think since you have said your farewells you should just move on, look for another woman(women) to date. I did not find anything wrong with your response to her. I don't think we can know what she was thinking/why she called it off but she did and that is pretty much all that matters at the moment. Chasing after her would still be that and would probably end the same way, later. If she approaches you again you could maybe decide to try again but, given how she broke this off, now, I would be leery of doing that as, again, her behavior is/was what it was and there's no guarantee anything would change?
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"Never give a sword to a man who can't dance." ~Confucius
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