Opinions wanted

[Sejanus]

So I just had a substantial argument with my sister, and I'd like to hear an outsider's thoughts on it. I'll try to keep it as unbiased as possible (which is probably futile.)
So my sister (I'm going to refer to her as Jane for obvious reasons)
had a friend over on the night in question. It happened to be the night before I started my new job, which started at 7am so I had to be up at 6am. My brother who I share a room with also had to get up at 7am for school. When I went to go to bed at around 10:30pm however, Jane and her friend were talking in about everyday-conversation-level-voices, so after about 10 minutes of this I knocked on the wall (the rooms are adjacent, and the walls do not cancel noise by any means) and asked her to be quiet because I needed to sleep. I suggested that she go downstairs if she wanted to keep talking. She replied saying something along the lines of "I'll keep talking if I want". So a while later when they hadn't stopped talking I knocked again, this time angry, and said "I don't give a shit what you're talking about, but I have to get up at 6am so go downstairs or shut up". To which she said something like "well I have to get up at 7am", which to me seems like a pretty fucking paltry argument. After that they talked more quietly, but still loud enough to keep me awake. When they finally stopped talking I'd say it was about 11:30pm and I probably got to sleep at about 12:00am. So I had roughly 6 hours sleep before I started my new job thanks to her.

The next day after she got back from work she started the actual argument by saying "you were extremely rude last night". Because apparently her having a friend over means I just have to lie awake and say nothing to her. I told her how she was actually incredibly rude and inconsiderate, and it devolved into a shouting match (as it always does with her, because she's notoriously angry in arguments with everyone). I usually try to keep my cool in arguments, and maybe for that reason coupled with the fact that she was completely 100% in the wrong but was completely denying it led to me getting enraged. At one point I called her a "fucking bitch" over and over. And I felt justified calling her this, because if knowingly depriving people of sleep before a very important event isn't being a bitch, then I don't know what is. She then brought out the waterworks and tried to get my parents in on her side by saying "are you just gonna let him call me a fucking bitch" (which didn't really work). After that she stormed out saying she was staying somewhere else for a few days and that she was never talking to me again.
I'd also like to point out that this is by no means the first time she's done this. She often keeps my father up who always has to get up at 6am by either talking loudly on skype/phone calls, playing loud music, or falling around the house drunk with her friends shouting the house down.
Thoughts?