Annie,
I'm so sorry to hear about your daughter. I know how scared you must be - my son is my world.
I'm also sorry that your sister wasn't more helpful. You seem to be hanging in there for your daughter's sake, but you need to take some time just for you.
If you can't reschedule your appt., try to do something you enjoy when she's sleeping at night. Even 30 mins. at a time during the day if you can manage it.
You need to make sure that you are okay - your daughter needs you. She's fine right now, so please look after yourself.
Mary Alice