I believe you've posted about this before.
It's an unusual situation so would be surprised if there were 2 posters in very similar position.
Except the other post the mother was studying and had chosen to leave the child with the grandmother, then the mother met a new man while studying and his work was based in the city she was studying in. So the poster wanted to remove the child from the grandmothers care and from their school, home and friends without any consideration of what was right for the child. Iirc the grandmother (it EVENTUALLY emerged) had actually been the child's primary carer for longer than a year and was concerned the mother wasn't committed enough to being a mother, that the mother only saw the child at the longer academic holidays and barely had a relationship with her, and was regularly making decisions without consideration of what was best for the child.
If you are that poster, again iirc myself and others advised you to work toward rebuilding a relationship with the child first, seeing them more frequently and being suitably considerate of what the grandmother had done for them both.
If you're not that poster and you genuinely have a good, close relationship with your daughter, have a stable life to support your child then of course as the grandmother has no PR you can simply collect her from nursery one day and take her home. Would probably be better for your daughter though to do a phased change and work with your mother to achieve that.
I've gained a degree and worked full time since becoming a single parent, thousands of single parents manage.
"Not been affected by my life...completely unaware of everything" you're kidding yourself! Of course she knows something isn't right if only by seeing her friends living with their parents and being separated from you!
You say you're home is safe for now as your abuser is in prison, will it still be safe when he gets out?