My mom is in the mid stages of dementia and has a bad hip. I have been very worried about her living alone for some time. A couple of weeks ago she had to have emergency surgery for a hernia and obstructed bowel and is now in a nursing home recovering. What I thought at first was bad turned into a blessing in disguise. Now her Doctor can order home health care to continue to help her improve and maintain her strength and Medicare will cover it! So now when she does go home someone will be in the home with her a few times a week and she will not be all alone all week waiting for me to come on Saturdays. YAY!!!
There is no way of knowing if your Mom will still be able to take care of her home, herself, and pay her bills. Not to scare you, but to inform you, surgery on someone with dementia can cause the dementia to accelerate. So be prepared.
Don't be surprised if you find that once Mom is released from the rehab center/nursing home, that she will now need more care then Medicare sending in physical therapist twice a week for a half hour/hour each time. Medicare will only do that for a short time.