Ok - lets look at this
it's your mum that thinks you can't do it.
You as you pointed out have a done a HELL of a lot the last two days - YOU can see that - she can't.
I'm not one for using the "toxic" term, but quite frankly she's toxic for you. The house, your insomnia, your mental health, all the things that you need help and support with she's not giving it.
You know what - I know you can do this, she doesn't think you can. Try and use her non-belief in you as a spring board and bloody well show her. You know you can - and I bet without having her there comenting and juding and making you feel like shit you'll get loads more done
What's on the list for doing tomorrow?
Write all the thing down you want to get done (even if it's as small as "clear out chair" "throw bag of rubbish away", everything, sit down and write yourself a list.
Tomorrow when you get there (free from juding and comments that are only making you feel worse) first thing you HAVE to do is ring the GP's.
Then stick your list on the wall - or the fridge in the kitchen - somewhere you'll see it.
Start at the top and work your way down, one little job by one little job. All those hundred's of little jobs all add up.
Show her you can do it, you don't need her to believe in you. I believe in you, others on MN believe in you, YOU need to believe in you.
Read your last post again, look at how much of the negativity in it is from HER point of view........