She's not ready. She's still spouting script so she is not ready to face her own faults and work to win you back.

I would say that the interaction doesn't sound attractive to me...which is why she gave you a brush off. You saying, "I'll still be your friend" is just LBH script for, "I'll be the guy on the side that pines away for you under the guise of 'friends' until you give me another chance." You need to be more the guy that doesn't give a rip. She needs to TRULY fear that she's losing you...not have you offer her the pseudo-friend waiting in the wings. Besides, with friends like her, who needs enemies?

You cannot be lonely if you like the person you're alone with. Dr. Wayne Dyer