Oh, I remember that I had one more idea while waiting for my pain to subside. Install an extra keyed deadbolt on the front door but leave it unlocked. Put the key and sign near/next to the front door (not on the back of the door, since that will likely remain open and hidden the entire time EMS is there) telling EMS what the key is for. That way, assuming the door jamb isn't too damaged, they can lock up on their way out even if the patient doesn't remember to mention the key.

My father had a stroke ten years ago and the fire department had to force the door at their house. Amazingly, I couldn't tell that the door had been forced open, so don't necessarily assume that the door is completely unusable after being forced open. (Although it also did make me wonder how secure that door really is...)

Hope your relative recovers soon. Just one bad fall can really take a toll on people when they're older.