@Jay 1. Mian's not her daughter and no, Haegu didn't even remotely raise her like her daughter.
2. When did Haegu ever comfort herself?
3. Haegu didn't intentionally raise Mian in a psychologically unhealthy environment. In fact, that's precisely what she tried to avoid all those years, but you make it sound like Haegu actively wants to make Mian's life an absolute he**. What Haegu wants the most is for Mian to live a long, normal life. Mian obviously can't ever be completely normal due to what happened when she was a kid, but now as a 20 year old, she is relatively normal (she went to school, has friends and is now going to university, for example), and that's because of Haegu. Yeah, obviously Haegu showing up at home all blo*** and almost dying isn't healthy at all for a 15 year old, but heck, she is a hitman and Mian knows that (duh, she killed her father), there's no point in hiding it.
4. Again, Haegu isn't trying to isolate her from other, less toxic relationships. That would go against what she wants most: for Mian to have a normal life. If she is giving Banwoo all those death glares, that's for a completely different reason/purpose and if you actually read this manhwa properly you'd understand.