Just to throw out a couple of thoughts..
I don`t understand how a mother could ever not, love her child. No matter what they do.
My older son was much the same as the child in your description, and I had so much grief from him that I threw him out of my house on several occasions. Once in the dead of winter.
He lived in a tent in the woods, trying to unthaw frozen meat over an open fire.
Other times he lived at the hunting lodge, other times he went to jail.
Through it all, I never stopped loving him, or caring about him, though I wished and prayed that he could be different then he was.
One of the problems he faces is alcoholism, and when he is drunk he can get mean at the slightest provocation. He has gotten arrested for assault and battery many times.
Drunk driving, etc, you name the misdemeanor and he`s pretty much done it.
However, I never could just, not love him, or give up.
He still says mean things when he`s drunk, but he has mellowed out a lot over the past few years and has been my best and true mirror when he criticizes me, and he still does that on occasion.
Most of the time what he says, or has been angry about, is true!
And when many things that have bothered him finally came out and we talked it over, it got better between us.
He`s not perfect, but neither am I.
He has been seriously wounded in the past, by me too.
Some of his pain I knew about, or suspected, some of it I had no idea, until he finally confided in me. Our relationship isn`t perfect, and might never be perfect, but it`s gotten a lot better.
One thing I am certain of though, is that he has heart.
He tries to hide that behind the tough and bad exterior, but it`s there.
Maybe the child you describe has hidden wounds like my son does, and maybe if the mother stops thinking she`s a perfect mother, and honestly listens to what is being said, things might slowly change in that situation, as well?
But if not, then I agree with what the others have advised, and protection against assalt or whatever else might come, would be in order there.