In my view you would not be in the wrong to fire her. Based on what you have shared that seems like the most appropriate course of action here. Her behavior is manipulating and dysfunctional. Tolerating such behavior is simply wrong.
My sponsor is someone who is doing me a service. Not the other way around. Thus, I am extremely respectful of his time. I would not want a sponsee who does not show me similar respect.
If anyone thinks I'm wrong I hereby give you permission to respond in a confrontational manner. I think it's beneficial to hear other opinions. I have been in the rooms of AA long enough to realize that I'm often wrong and I'm ok with that. Fire away.
Thanks!