Carolyn, I can understand why this might make you uneasy, but from my own hospital experiences, I agree that she is much better off at home, so long as she can relax and get lots of rest.
I went into the hospital once with one problem (cellulitis), but caught pneumonia while I was there and ended up staying much longer than I wished. Once I got home, I did much better.
I hope that you, too, can get some good rest. Make use of all that great pet therapy you have right out in your corral!