What is my responsibility

The past week has been...terrible. My dad (63) was put into hospice yesterday and, while I do agree that it's correct the hospital has decided because he's in hospice he's now ready for discharge. Today the social worker told me I need to be going to nursing homes in my area to ask if they have room available and tell them to expect a referral. She also said if they don't have one in the next day or so he would need to come home with me and I would need to take a leave of absence from work. I just, I can't believe that they can "force" someone to just suddenly not work for an unknown amount of time.

I feel they would be obligated to call aps (if it's anything like cps obligations for pediatrics) if he tries to go home (he's an extreme hoarder) so wouldn't that lead him to just staying in the hospital? I don't even know if he has insurance yet. It's all a fucking nightmare and I keep just wishing he'd pass in his sleep but feeling extremely guilty about it. I don't really want that. I want to be able to make memories and do the bucket list things he wants to do but I can't destroy myself for this.

Sorry this was part rant and part question. Did you have to find and figure out nursing homes when your loved one was in the hospital? Did you just accept that you had to take a leave of absence and allow them to live with you if you weren't able to find a place within the hospital's timeline? Thanks so much for any insight or just for reading.