PLEASE HELP: I got into my FIRST ARGUMENT ever with my girlfriend - am I justified in feeling this way?

[Jordan]

My girlfriend is consistently gushing about Hollywood guys and how hot they are... it usually doesn't bother me. However, after talking with her for an hour about her bad day, she starts talking about this guy on TV who has the same name as me and is SUPER gorgeous, and that she would be "totally crushed" if he was not single. That kind of bugged me, but I just made a joke out of it obviously hinting it was annoying... she KEPT going and said "well, at least you both have the same name" at which point I felt hurt/compared to this guy, and asked her if she was just doing this to rub it in my face... she KEPT going and showed me a picture of him, at which point I got very visibly upset (this is when she noticed, and she apologized) but I addressed it in a mature calm manner.

Today, I asked her if she wanted to meet up and talk to which she replied - "No thanks. Maybe not today, but have a good day!" essentially giving me the cold shoulder... I feel like she's trying to turn it around on me. It wouldn't be so bad, but whenever I even MILDLY find a famous girl attractive, she will get jealous and a bit hurt. So, my underlying point is that she should treat me the way she wants to be treated and that she has a double standard.