Strange female behavior? why did she do this?

A girl who I kind of liked in hs and I believed she liked me back because she would always stare at me added me on Facebook about 5 months ago. We never talked in school and mind you, I’m a handsome gentlemen but I don’t chase women. I accept her friend request and I text her “hey, how have you been?”. She replied a day later. I didn’t respond and deleted her. Fast forward to now in November, she resends a friend request. I accept it and I’ve waited 2 days for her to start the conversation and she hasn’t so should I just delete her and never add her back again. Shame we can’t open up and just be cool
Strange female behavior? why did she do this?
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