OMG that was a drama.

I don't know if this will help, but maybe if you let her help bake you cookies and then take them to the kids that are in hossie. That way you take her to hospital without having her see a dr.
Don't know if this will work, but you can try. Tell her what you want to do, ask her if she would like to make the kids in hossie feel better. Reasure her that she is NOT going to see the dr, that she is there to make other kids happy. Maybe it work, maybe not. It might be a good idea to call the hossie and organise with a headnurse about a time out of visit hours so you don't disrupt the visitor. If you explain your situations, maybe they will bend the rules for you.