This person will use you up, and when there is nothing left to give she will get rid of you. She is movin' up, cutting corners, and thinks she will always look great because she keeps everything covered. You can't allow yourself to be a door mat. If I worked for you would you ask me to do such a thing? I'll bet that you wouldn't, and I bet that your manager has never done it herself, or she wouldn't ask such a thing.
I think that I would actively look for a better job/situation, and when I found it, I'd make certain that there was a detailed, written, exit interview which I had a signed copy of. After I started the new job, I would send a copy of it with a lovely letter to the corporate offices, about how much I had enjoyed working for them and how concerned I was for the wellfare of their company
, but that I just couldn't risk my health, their
patients well being, the chance of their
facility's possible damage to reputation, or my license, to the real danger of probable mistakes made due to my extreme exhaustion.
Bet the top really doesn't know
what the bottom is doing.