Paramedics and EMTs can work these questions quickly and they have lights and sirens to get through traffic. Your car will probably google "hospitals" and (slowly) take you to the nearest one, which might be a closed methadone clinic.
In most cities, an ambulance is going to get to your car much quicker than your car would get you to an appropriate hospital. A modern ACLS rescue unit is effectively a heart hospital on wheels. So calling 911 brings the hospital to you, without putting anybody else on the road in danger from your car's not-yet-quite-ready-for-unsupervised-operation autopilot software.
It could even work if you are at home and have an emergency. Call 911 and if they decide you should go to a health center on your own it will send where to go to your car.
Of course at first wait for help should be the default, but when automated driving improves, and the processing of emergencies improves too, an automated response system should be the norm for most of the time.
