You know, going back and re-reading this chapter I'm actually getting a pretty bad vibe from Rebecca. She's a stickler for the school's rules but I think it goes beyond that. Look at the poster incident for example. It's easy to say it's "just" a poster or even that it "just" holds sentimental value but for Evelyn that poster is a treasure that represents everything that inspired her to become a ballerina and Rebecca's only response is "yeah but the rules" and her apology is less "sorry I was wrong" and more "sorry that you were ignorant of the rules" showing no real understanding of just why Evelyn's upset. So in that context is it any surprise that Evelyn already hates her?
Then what she says to Kanade at the end of the chapter puts what she said about Keira and their old roommates -- that they failed, dropped out and Keira has yet to move on -- in a whole new light. To me it comes off like I read it wrong. She's not hung up on her old roommates at all. Rather to her, they simply weren't good enough and thus were shown the door as is to be expected. Also her reasoning for doing ballet (she lived near a studio and just got curious) and the fact she's been at the school since she was 11... she seems to have a very cold mindset: you're either good enough or you aren't. If you're elite you'll succeed and if you're not then you'll fail, simple as that. There's no room at all for sentimentality in her mind. Just a cold, and robotic adherence to honing your skill.
So that makes her an even greater contrast to people like Kanade and Evelyn who seem to wear their emotions and sentimentality on their sleeves. But maybe I'm reading her wrong.