Time for nursing home?

Nursing homes for those who require Medicaid assistance have two qualifiers. One is medical need and the second is financial. His doctor would have to sign that he needs 24/7 skilled nursing. His finances would have to be limited and in align with the rules of his state which require a 5 yr look back into his finances. If he has funds for private pay, he can use those until he is near Medicaid eligibility and then apply.
If dad couldn’t pass these two portals, he might be eligible for an Assisted Living Facility where he could get additional services as required until his health reached the point of requiring 24/7 care in a NH or hospice.
Does your dad see a doctor or only visit ERs? If he could find a geriatrician that might help him feel heard and cared for.
Has he seen a hematologist? I suspect your dad just wants to feel better and that should be an achievable goal.
He could qualify for hospice now, it could start in your home and you could decide if it was enough extra help. The focus of hospice being to keep him comfortable and not seek cures for the qualifying malady. People sometimes live many years on hospice. He could have hospice almost anywhere, in your home, in an ALF, in a NH. This care might help relieve some of his anxiety.
Do try to get help for yourself as well. It’s very hard what you are doing.

edit: whoops I just noticed this is a month old post.

Yes, you can. It will of course take his assets and it will necessitate applying for medicaid if he has none. It is wise to know your limitations, and the truth is at this time this may actually ease and comfort your Dad to have more people around. And you can request hospice. You will almost certainly get this with the anemia and the age component and more and more today it is requested with no "as- surance in the guesswork" that death will come in 6 months or less. Wish you good luck. You can begin to explore Nursing Homes now looking toward admission. Wishing you good luck.

You can't force a nursing home to admit someone, but why do you think there might be a problem, anyway? Your father would be willing, would he? - he'd certainly get a level of attention more like a hospital environment, if not the same.

What's causing the anaemia? If it's severe, it might well make him feel dreadful.