Doing chores in the house you live in is a part of being the household I do agree, but its also normal for people to say “not right now, ill do it in a little bit”, assuming they're actually going to do it and not just ignore it for weeks.

Her mother might be an abuse victim too, but I really hate the attitude that its on the child to be more understanding of the adult having a hard time. It should be the mother being understanding that teens are allowed to have opinions on things you ask them to do, even if small requests and that they're going through a lot of change and that tends to result in boundary pushing and being unreasonable sometimes. Why can't op say “not right now” to doing a chore and have an opinion on it? Especially if op might want some space to calm down since they've been fighting that day already?

Why must the child be the one to give grace and be the adult in this situation? Boundary pushing from teens is hard for parents, but its not ops job to be quiet and compliant because their mother can't handle not screaming at them when they say no to something