Most of us have faced situations like this, so I'm sure we can appreciate the situation you have been placed in. Thank goodness that your mother has you nearby; think of the ones who have no one to pick up the slack.
But I did want to say that I have nothing but praise for the selfless people who take on the inexpressibly difficult tasks of caring for elderly people who are not their own relatives. I will do *any*thing necessary to make sure my mother has a comfortable end period of her life. I go sleepless sometimes on nights I have to go off to work; I do laundry for her that is maybe 3 x the amount of laundry I myself produce; I cook the blandest possible food for us to share with her, so she does not feel singled out; I go to her doctor with her; I finish up her toileting for her because she can no longer understand personal hygiene. My sisters don't want to do this work. Yet they think nothing of having the carers do this. For a pittance - a *real* pittance.
Until we all band together and either take care of our parents ourselves - fully, unconditionally - or else are willing to pay sufficient taxes so that the care workers can earn a respectable professional wage, this is the situation we are all in, no matter where we live.
Your mother is lucky you are there. I'm sure they'll get it straightened out. Maybe hiring someone privately till then is what needs to happen . . . .
My hat is totally off to the carers who come in here. They have saved my life quite literally and my mother loves them for their quiet care of her. I should add that the system in the US is significantly different from the system in the UK. Here, unless one *cannot* afford assistance, one is expected to take on the family member or else the member is under a very limited funding or a sub-par care home. My mother is self-funded; I choose the carers who come in from the cluster of ones the service offers to us.