Question with those attitude is whether she'd actually be worse of if people knew she was a zombie ... "oh, phew, so you aren't a gyaru after all? Thank god!"
I wouldn't mind some more backstory on this world. Are zombie breakouts known about or are they covered up by the government? If zombies are acknowledged as existing, they might be treated with prejudice explaining why the poor girl needs to hide what she is.
What a line: "But schoolgirls usually don't have detachable legs." - That got me pretty hard. How did you know teacher virgin? - Sure "Gyarus are scary".