@mewples yea they are in a public setting which is not the appropriate place to start a fight? slap people?

And yes you can join people's conversations but not in the way she just did unless they are good friends which they are not. These girls backstories haven't even been fully explored yet and bully girl's background is still unknown which is why my impression of her is strictly based on what I have read so far.
She's fragile and puts up a strong front to cope? I don't know how you came up with this conclusion, if i missed it in the webcomic then I'm sorry?? I'm only relying on the information I've read and remembered so far. Having a troubled past/background is never an excuse to hurt others. Other people should never have to pay the price for your suffering. She wants money? Then find a decent part-time job like MC. Kim Han Mi/bully girl chose to be a bully and extort money, no one forced her into it, none of her bully friends forced her into their idea, she was even called their 'brain', meaning she's like their little decision maker. Beating up the other students to make the MC feel bad was her suggestion, her actions are inexcusable and the other bullies got into trouble for it except her. She's not even remotely apologetic nor has she shown any remorse for the bullying and extortion.
Kim Gyu Ri/Smart girl is rich but she clearly works hard and doesn't want to be a burden to her adoptive parents because they've done so much for her, she doesn't even want to burden them with her trauma. She recognises when she needs to repay favours which shows that she has a strong sense of responsibility, it's even shown in this chapter when she lent her notes to MC and she's said before she dislikes being indebted to people. Yes she received tutors and help from her adoptive parents but that's their responsibility as her parents and they obviously want her to do well at school (like most parents do). Smart girl is bland and she's also not some amazing/lovable character (her fainting outside by the garbage bins was weird af) but for me, she's at least tolerable than bully girl.
Also Gyu Ri didn't belittle her whole entire being, she only said like 4-6 lines

that the girl won't get the notes. True she was mocking her and acting holier than thou but Han Mi was being rude and petulant in the first place.
Anyway let's just agree to disagree. I just don't like Kim han mi/bully girl because the author hasn't shown a shred of any good about her
yet but if the author intends to make her a part of MC's group then she will definitely make a turn around in the future and by then maybe I'll like her too but for now I can't find a reason for me to like the character she currently is.