I think the author wants to imply she was a difficult person to deal with, and the mc at least admired her straightforwardness and assertiveness. I just wish it was more explicitly stated, I think the author doesnt want the characters to have flaws.
Lets point to three instances of her getting bailed out:
1. the delinquents threatening to reveal her identity to the public: she could have taken them, but that means getting caught on video. Her opponent is playing dirty and she would have to sacrifice her reputation if she went through with...
Actually she doesnt, all instances of her getting "beaten" so far have made sense. She doesnt ever get beaten in a straight fight, all instances are her opponents playing dirty or she would have to be sacrificing something otherwise.