The last time I tried to force her go to the hospital when she didn't want to was about 8 years ago, I called an ambulance and they came with a cop because she's bipolar and very hostile(but not violent, though they don't seem to care about that.) and my mother refused to go, so as she was turning to walk back to the couch, the cop tased her, threw her to the ground and forced her to go, then later said she lunged at him, which was a complete lie because I saw everything myself. She ended up going AMA anyway.
I don't really know about the caregiver situation. I don't have any power over her. If I called an ambulance out and things didn't escalate like before, I'm pretty sure you can't force someone in their right mind to go to the hospital if they don't want to. At least, not in my state. It's not like she's bedbound or out of her mind. She's up and about and doing things around the house, but suffering greatly as she does them. She's 100% in her right mind right now, so I can't force her to do anything. If she starts having mental problems, only then can I force her to go, but right now, all I can do is wait for that to happen or God to heal her.