Self-Banishment With My Classmates

All Louise wanted was to summon a perfect familiar, a familiar so divine and powerful that it shows her classmates that she was not a "Zero", that she was worthy of the de La Vallière family name.
Instead, she failed, and not willing to face the scrutiny and teasing of those who always doubted her, she ran.
Now in a world much more different from her own, Louise and a few of her classmates/enemies must form an uneasy alliance amongst themselves and with a teenage human boy named Saito in order to find a way back home as well as to also fit in and not draw attention to themselves, alerting people to the fact that magic exists.
However, the more time Louise spends in this world, the more she feels as if she belongs here, and Saito isn't helping with the situation either, which begs the question...
Does Louise even want to return home?

Or more simplified: A teenage witch with low self-esteem actually feels at home in a strange new world and her fellow teenage classmates and family take a good long look in the mirror at how potentially damaged she might be on the inside.