Is it normal that i don't give my friend a second chance?

This is a long story, so I apologize in advance.

I've had a friend (she's a girl, I'm a guy) for a few years (throughout high school), and this was our first year going to separate schools. She had a boyfriend, and I became close to him over the summer, and we'd hang out a lot. Well, we went to college, and they ended up breaking up in the fall. He goes to a school that's close to mine, so I'd still see him occasionally. My friend (the girl) was having a miserable time at her new school in New York. She was very homesick, has decided to change her major completely, and was very miserable during her first (and now her second) semester at New York. Well, throughout the year, which was stressful for me as well, I would text her, call her, Skype with her, and just try to cheer her up and make her feel better. Over winter break, she came home, and I took her out the night she arrived, and we had a great time. While we were hanging out, she talked about her ex-boyfriend and how she was hoping to get back together with him. I knew that he was seeing other people already, so I mentioned that it might be best to move on. In all honesty, he wasn't a great boyfriend to her, and he had broken up with her three times in the past year. Anyway, I was trying to hint that it might not work out, and she just ignored me and said she thinks it's what he wants, too. Oh well.

After this, I didn't really see her during break--she never really talked to me, and I asked her to hang out a few times, but it never happened. I did, however, hang out a lot with her ex-boyfriend, who was one of my better friends by then. After New Years, when everyone was getting closer to going back to school, I tried to get together with her to hang out and say goodbye, but she was distant, and nothing happened. I found out a few days later from some of my other friends that she had been actively avoiding me all break because I told her to move on from her ex-boyfriend. I laughed because I thought that was a joke, but it wasn't.

Fast forward a few MONTHS of her not speaking to me--I didn't try to initiate any conversation either because I figured she'd talk to me if she wanted to. I had spent a lot of time thinking about what I might have done wrong and why she won't speak to me, but I really couldn't figure out what I could have done to cause her to be so angry with me.

So I texted her one day about how I was disappointed that she had been avoiding me for months because of my telling her to move on. After a long conversation, she said several things--that she was avoiding me because I told her to move on yet continued to hang out with her ex (which I did because... he's my friend), that I was to blame for her not being able to move on from him (not true, because she had been unable to move on from after their second breakup when I wasn't friends with him yet), that I didn't care that she was so miserable at her new school (I tried very hard throughout my first semester to keep in contact with her and cheer her up because I knew she was having a rough time), that I had told her she wasn't trying hard enough at her new school (a huge lie because I was one of the only supportive people and I would talk to her about how I support whatever she decides to do), and that I was avoiding her right back (except that I didn't start avoiding her AND I'm the one who started this conversation).

Anyway, I told her that she should figure out how to deal with the fact that her friends aren't going to stop being friends with her ex and then she can talk to me again. Because I'm not going to lose one of my best friends just because he's not dating my other best friend anymore. This was all a few months ago, and she still hasn't called. But really, I hadn't thought about it until today... And really, I'm not interested in being as close to her as we were before. I feel like I put in a lot of effort and a lot of my heart into our friendship, and she just disregarded all of that and tried to make me the bad guy. I believe in second chances, but I also feel like so much of what she said was out of line and I'll probably never forget it. But I also don't mind because I don't want people in my life that are going to make me feel bad about myself when I'm trying to be such a great friend to them. I guess I'm just not sure if I'm being too harsh or if my feelings of not caring to be friends with her anymore justified?

Thanks.