To be fair, she was...what, 14 or 15? She had a criminal for a father and a drug addict for a mother, so it may very well have been more of a self-esteem issue or maybe she thought by doing something fun or risky she would be somehow taking control of her life (I mean, she also became a vigilante, which can also qualify as a fun and/or risky thing to do).
The logic isn't sound, but it is a mistake that an otherwise smart teen might make if she was in a bad place, emotionally.