Ah, there's a difference between respectability and social status. Along with the rest of her extended family, she lost her status as an aristocrat due to the events of Book 1. And certainly she risked her personal respectability by traveling around Europe on her own in between the two stories, but it's not quite the same thing. What she wants to restore is the official legal status of the Chazillen name. And while her own personal behavior could certainly undermine her ability to do that, she isn't seeking personal redemption for herself specifically. It's complicated.