Is your issue with the process of being discharged? What it would be like to go home after being in the hospital?
I was in an accident and suffered a fairly serious injury a few months ago and had a five day hospital stay. When I was discharged, I was cleared in the morning, had to wait for my prescriptions to be delivered, because I would not have help or the means to get them once I had arrived at home.
When my prescriptions did arrive, everything happened very fast. I was given paperwork to give to my doctor and about followups, but they failed to give me information about the services that were recommended for me at home (since I would mostly be alone).
I was brought outside in a wheel chair, and someone met me with my medicine. A hospital driver brought me home as I did not have anyone to give me a ride. When I got there, it was extremely difficult and painful to get up the three steps into my house. I had a broken leg and was using a walker at the time, so I had to sit down on the steps, and it was very difficult to sit down and to get back up again once I got inside.
Once I got into my room, it was also very difficult to get around for the first couple of days, and I had to contact the hospital again and go through a lot of trouble to get information about my at home services. I am discharged from all of those services now and just have physical therapy as an outpatient.
Obviously, there is a lot here that will not apply to your character, but some of it will. Some things to consider: does she have someone picking her up? Someone to take care of her at home? It will affect how you write your story. Are there any meds or special instructions for her care at home? Does she have any follow up services? Did the hospital remember to give them to her or did the hospital leave her without information?