<human>: So my current boyfriend and I have only been dating about a month and we've been getting along great. The problem is one of his oldest friends, a female, who I shall call Holly. Well my boyfriend (let's call him Mark) and Holly go way back and he's confessed that in college he had a huge crush on Holly. They even tried dating for a few weeks, he kissed her, confessed his feelings and she turned him down. He was crushed, didn't speak to her for a while, but now they're friends and have been for years. 

I met Holly before Mark and I started officially dating and she was always sweet to me. Their relationship was very platonic and I had no concerns. I thought we could even become good friends. Now though that we're dating she is displaying behavior that I find unacceptable. 

She isn't being cruel necessarily, but she makes remarks about how much better she knows Mark, has become flirty, and cuts me down a bit. Mark hasn't really seemed to notice as it isn't overtly obvious, but I've noticed how Holly takes every opportunity to touch him or hang out with him only since we started to date. 

Now I understand that he they are old friends and I don't want to come across as a jealous girlfriend. At the same time I feel like she is trying to steal Mark. A very, "She wants what she can't have situation." As they have been good friends for years though, I don't want to chuck a grenade into their relationship and possibly cause Mark and I to break up. I want to proceed cautiously as I respect their friendship, but I want her to respect our relationship.

Summarize the given text in a few sentences.
<bot>: Boyfriend and I start dating, old crush of his regrets friendzoning him, she wants him now, I don't know how to proceed.