WhoIsWrong.com :: Should my boyfriend keep her around?

SHOULD MY BOYFRIEND KEEP HER AROUND?

Krt90`s Argument

There is this girl that has been friends with my boyfriend since their freshmen year in college, for about 4 years. He has told me they were good friends and she helped him through his breakup with his long term ex girlfriend. He told me they never hooked-up or kissed even though he had chances even though he told me he cheated on his ex a lot. So why didn't he hook up with her?
He claims they were just good friends and that he knew that they would have just started a relationship for which he wasn't ready for. He also told me she had gotten upset with him for not breaking up with his ex girlfriend sooner, ”so that they could start a relationship.” Before me and my boyfriend started dating officially we had almost ended it and take a break after our Winter Quarter which is about 50 days. He said that right after the winter break ended and before me and my boyfriend started back up again, she had invited him to lunch and she told him that she “always wondered where they would have gone” and that she has this new guy but if he wanted her he could have her. He didn't take up the offer because he really liked me and a few months later we officially started dating by mostly his efforts which I am happy to share. Personally, I didn’t know about that meeting until a couple months after the fact.
What makes this whole situation so bothersome is that whenever she tries to talk to him he feels the need to tell me and honestly, Its really annoying! If he is that uncomfortable I don’t understand why he just can’t delete her from his Facebook and his phone! He claims that he can't because "she was a good friend, and never has done anything to upset him."
I feel as though I need to share that me and my boyfriend really good together, we have fun together we have started making plans for the future and we love each other. This is just such a weird fight, and I can't stop feeling like he's saving her...
Before I knew this girl and my boyfriend had a thing she added me on Facebook. I accepted because we had just take a class together. I thought it was a little weird considering we never talked, but we had several friends in common so I thought nothing of it. I told my boyfriend and with shock he told me that he knew this girl and he explained the story of their relationship. He deduced that she was spying on me. I didn’t really mind at the time that she added me, it looked rather pathetic but eventually her posts starting annoying me because they were all so extremely conceded. Maybe that’s my bias talking but she was seriously always bragging so I deleted her.
That being said, throughout the following year this girl has tried to get in touch with my boyfriend countless times. I really feel as though she is somewhat diluted. I think she is cocky enough to feel as though she still has a chance even though he hasn’t responded back this whole time. Some part of me feels by my boyfriend’s lack of response, almost encourages her to keep trying.
Look, I will be the first to admit that it is possible that I am being overbearing, but why does he keep her around? I have ceased to talk to any of the potentials in my life and if those potentials actively pursued me as much as she has then I would have unquestioningly taken care of it. But why can't he??
He asked me to respect him not wanting to be mean to her because she hasn’t done anything rude, or extremely out of line but I don't understand why he can't just delete her? Hel