Big blue, I hope you don't mind my intervening. A lot of the things you're saying are ringing alarm bells following what happened recently with me and my own mother.
Specifically - you say she is forgetful, using things like the washing machine is complicated, she is difficult to talk to (I read this as takes criticism personally), she won't change her habits, she has learning difficulties, she wants to be cared for.
Have you assessed whether your mother has some kind of memory impairment or dementia?
My mother does, and we only realised the full extent of it when she came to live with us during a particularly difficult period for the wider family last year, for three months. I expected her to be "living with us" as you say, but now with hindsight and also realisation at the time I know she actually needed caring for. She was not an equal or a companion in the house, we actually needed to devote increasingly more and more of our day to her welfare and comfort.
The reason this is important is for the future. It sounds like you are embarking upon a carer role for your mother, it's completely different to that of a supportive daughter and has much wider implications for your family. It's also far harder to change later and also without any other support (like siblings or close family) who can help YOU.
I would personally start to look at things differently.
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Do you think she could be unwell?
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Do you and your family genuinely see her needs as remaining better (once "settled") or constant for a long period, or do you think you will find yourself gradually turning into her carer?
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What is your contingency plan for the future if it becomes too much on top of supporting your own family? Will you be able to take holidays, go away for weekends, leave her in the house on her own?
If there is an underlying medical condition it's a good time now to address it and talk openly about the future together. These things can take time but they are essential to the wellbeing of all of you and you will find support.
I would in the meantime suggest talking to her GP if you are noticing patterns of behaviour, and looking into day care centres that she could attend where there are lots of group activities, and it gives you a break at home for a while.
Good luck