I don't see anything abnormal here. Wrong? Perhaps, but not out of the norm. Does everyone here come from a household full of perfect, always calm, patient parents who are never pre-annoyed by work and other life problems and are never lacking in one or two important life habits? Sounds unrealistic, but good for you if you do I guess.
Just because your parents get pissed off from time to time doesn't make them abusive. It simply makes them well...pissed off. The slippery slope is when a parent strikes their child with the intention of "beating sense in them" or whatever nonsense, and then we start going down a rabbit hole about culture difference yadda yadda blah blah, but the fact is that the didn't do that with her. The dresser bit and shoving her out of the way was sort of over the top but Takae appears not to have taken so much as a scratch so I'm guessing the mother was watching her strength.
So yeah, still not seeing "abuse".
Judging by the mother's phrasing Takae must've been lying (and getting caught from time to time) for some time now and it's only conveniently being shown to escalate now. It looks like a fatherless household too, whom I'm guessing wasn't very good with money and secrets either.
Being forced to relive a childhood in a household that would've currently resembled what she left behind is probably giving Takae a two-way guilty conscience. Guilty of leaving her previous family behind, and guilty that she is running from her own problems by visiting them. She's probably concerned about her new mother too. Regardless of what the new mother is like now, Takae probably used to live in a happy household and empathizes with a house gone to ruin because "someone left", whether it be through death or otherwise.
This is not as simple as some readers are making it out to be IMHO. What needs to be expanded on is whether this mother is coping through unhealthy methods or not. The unclean household is one strike, but just barely. Takae's new mother is probably a single parent, maybe she falls behind sometimes. *shrug* Also I've seen happy households when I was growing up where houses looked like a pigpen compared to mine. It does not necessarily equate to abuse, that's just bad teaching. Not the same thing.