How to find out if my mother would qualify for palliative Hospice care?

My mother is 94 and not able to do much on her own. she needed help with dressing, bathing , toileting, incontinence etc. She recently fell and has a compression fracture on her spine and broke her arm. So now she can't even use the walker. She just contracted shingles and on top of all this, the dermatologist overdosed her on her antiviral medication and she had to go to the hospital because she was in some sort of coma state. She is in and out of it, sleeps most of the time now. After a week they sent her to a rehab facility. I would like to get her out of there. Still in and out of it, but I don't know if its because of the pain or the overdose. they only will give her acetaminophen. No other facility would take her because of the shingles. Is this something that palliative hospice would cover at home? It's very difficult because non of her family lives near her. She lives with a boyfriend who helps her and he has his own limitations.