"She doesn't quite seem the sort to quit just because it's expected either."
Possibly not, but then again, the teacher she was replacing quit because she was pregnant... *shrugs*

I hope she doesn't ever quit though, even in Shiratori's flashback, she seemed the sort to want to keep the youth of the day on the straight path. (Hell, it's even what defined her in the first case with her.) If Shiratori's destined path is policing, her's is teaching.