I agree with others that if she has full capacity, she has bodily autonomy and you cannot force choices upon her, whether you think it’s common sense or not.
What you can do is set your own bar as to how much help/support you’ll give her with the consequences of her choices. Make this very clear to her and stick to it. If you present it as though you would like her to (for example) engage with falls protection scheme for your sake and to put your own mind at ease, would she be more likely to engage do you think?
It is hard. I can see it from the perspective of dealing with yet another 3am parental emergency call and thinking for fucks sake (and then feeling guilt!) and it’s extremely wearing as well as worrying. I can also see it from the perspective of someone who regularly ends up on the floor due to seizures and mobility issues and I know my (adult, mix of living at home and away from home) DC worry about me and think I probably take unnecessary risks eg. getting public transport instead of taxis, doing things unaccompanied when I could just wait for someone to come with me, use my wheelchair instead of a walker etc. I try and set their mind at ease as much as I can (I have engaged with adaptations team and do have emergency fall alerts set up) and whilst I know they would prefer me to modify some behaviours like the above as “common sense” I also want autonomy and to live how I would like to, as much as possible. I would never expect them to pick up the pieces and am clear on that and I try and reduce my risk to a compromise level for both of us.
I have also made sure they know where my will is (this is more to the reason behind the seizures and shit mobility to be fair, not the falls themselves) and all useful information is in a folder with it, along with Advance Care Plan, P of A etc. I am in my 40s, so decades younger than your mother (I had my DC young) but I think I want to live what’s left of my life on my own terms, and your mother may feel the same.
I would ask her to engage with services etc to put your own mind at ease (without guilt tripping, appreciate it’s a fine line!) as this may make her more inclined to do it for your sake. My DC found a very successful strategy of making a “joke” out of it and “babyproofing” the house. It made me laugh and we did things like putting those guards on the corners of tables etc and I felt less of a liability burden and more of a person humouring her DC - it’s hard to explain. (Actually rugs are good at cushioning falls, you can get bombproof sticky tape on Amazon etc to secure the edges so they stay stuck to the floor).
Good luck, I understand it is hard. Definitely set your boundaries, make them clear to your mum and never feel guilt - they are her choices. (And it’s fine to think oh for fucks sake, even if she’s in her 80s, parents can be really fucking annoying, especially bloody stubborn ones!!)