The man who chase has no self respect, no shame, he do anything to get her. A woman that makes a man chase her, has low self esteem, needs constant validation. You can be sure, this dynamic will end sooner or later as it only breed resentment. The man will get exhausted from having to constantly trying to please her, and when he stops or check out, she gets Angry. But her anger is not out of love, but self pity.
Like someone who wants to be your friend. If they are overly friendly, try to hard to impress you, and not giving you a turn to see if you want to reciprocate or not, disregards your feelings.
Someone who gives you the impression take it or leave it, it doesn't affect my happiness. That's the kind of person you consider letting into your orbit, and go from there if they do show signs of interest.