Well it depends what you want from her??
Do that if you just want to be her cheer squad, she'll gladly keep you around. It's always good having a guy around to ward off other admirers, esp ones we don't want hanging around because we find it so hard to be quite rude and say "not interested, please leave me alone I don't even want to waste time talking nicely with you" So we use you to scare them off

and on the other hand if there is someone we are attracted to then you serve the purpose of being a question in their mind...is she with him? She keeps sending me signals...
Dropping her like a hotcake can reverse things IF she has had any thoughts of something other with you. You were the one that first initiated contact several times. After she told you to back off, was she the one to initiate contact again to keep you falling all over her? If so, fall over someone else in front of her and be blas? with her and her texts etc. This could promote a 360 on her part...and if it doesn't you haven't lost anything.
But one things for sure, we don't like losing our admirers. Makes us feel special!