MIL refuses nursing home care, what can be done?

My MIL will be coming home from NH Rehab today and will have to stay with us for a day or two. Her house is/was infested with fleas and will also need to be cleaned. My dh and nephew sprayed it over the weekend so hopefully the fleas are dead now and I can clean tomorrow if I can get a sitter for the kids. Dh has been told that she doesn't need to stay by herself yet they're releasing her to go home where she lives alone. Nephew came up with the idea of her staying with us until she could find somebody to move in with her. That won't work. We don't have room for her. She'd be on our couch until someone moved in with her. I told dh two days tops is all I can handle. He thinks she'll want to go back home after a day anyway and thinks I'm worrying needlessly. I've threatened to go somewhere with the kids if she's here more than a couple of days. I may sound like a horrible person but while my MIL is a sweet person, she also does not respect boundaries, walking into my bedroom uninvited one time just to give an example. She tries to take over with the kids, tries to interfere with our way of parenting and expects to the kids to be all over her at all times. She basically wants to be the center of attention with the kids. She's also been guilty in the past of trying to invite people to our house without checking with us first. I just don't foresee her staying here more than a day or two and it not causing problems between her and us, and me and dh. What was my question again? Oh yeah, she really does need more care than I or anyone else in the family is able to provide. She needs someone with medical training, someone to make sure she takes a bath, takes her medicine correctly, takes her breathing treatments and someone who can check her blood. (she's on a blood thinner)She's showing signs of dementia, where she's forgetful, won't bathe for days, may not be wiping herself when she goes to the bathroom, which is how she ended up in the hospital with a UTI. She also thinks she can drive but the last time she drove she got pulled over because three or four people called the cops on her saying she almost ran them off the road. Her side of the story was that those people just didn't have anything better to do than to call the cops on her! She refuses to even discuss going to a nursing home, telling dh you're not going to put me away! She believes that people put loved ones in the NH when they just don't want to fool with them anymore. I'll be the one having to deal with any and all needs since I stay home and dh works long hours. I foresee this causing me to resent her and dh, not to mention the rest of the family. This may have been more of a vent. Thank you for "listening." Any advice and/or hugs would be most appreciated.