Nobody to look after my elderly father if my mother and I need to go out. I hate this!

My elderly father ended up in the hospital due to low blood pressure and now that they figured out the cause they fixed it and brought him home. Which is wonderful and I'm so happy to have him home. But now that he's here my mother refuses to leave him alone to go and do important things we need to like go to the grocery store get gas or go to the drugstore. You know things like that.

Because she said one of us has to be here at all times. Which I fully understand after him being in the hospital and all. But this is a massive inconvenience to both of us and here's why. My mother needs me to go with her to do certain things four times a month that she can't do by herself doctor's orders. But how can we when someone has to be here with my father 24/7.

Something my mother doesn't see the problem with. Because she asked the nurse that comes in each day to dress his wound he got at the hospital on his arm from accidentally ripping out the IV one day. If there was anyone who could stay with my father for a couple hours if ever we need to do something together and the nurse said there's no one. So my mother acted like that was our only solution and now that he has said no there's nothing we can do.

Meanwhile I suggested to her what about a babysitter that I would gladly chip in to pay for. She immediately refused and won't do it because we have no family we can call or friends who would do this. As most of them do not call my mother or talk to her anymore not that I blame them because of the way she is.

But anyways since my mother refused are only other option I don't know what we're going to do nor do I think my mother cares and it's frustrating. Then just you watch she's going to complain about this later on and if I tell her I gave you a solution but you wouldn't take it so now you can't complain she'll get mad. But it's the truth. What would any of you do in my situation and have you ever encountered this problem before?