Man, getting banned on your first day. That's a record. So, the question is: was she banned as an abomination or did they suss out who she was and banned "Luz the Human"? If the latter you'd think they would have made more of a stink about it.
So I guess Luz won't be attending the magic school after all and will effectively be "home-schooled" with Eda? We know she'll continue interacting with the students thanks to the new episode descriptions and promos... but she should probably give the academy another try once she gets some actual magic experience.
Curiously, they aired another one of those "Look Hooo's Talking" segments with the live owls after the episode and brought up the fact that the academy uniform colors hint at what "track" each student trains in. We only know of two (Abominations = pink, Plant magic = green) but there are several more colors seen on other students. Should be interesting.
Other viewers have pointed out the strange runes that have been showing up in each episode:
as well as this blatant bit here in the school that shares similar symbols:
So I guess that's a thing that viewers can obsess about on the side...