And cord being wrapped around the neck cuts off oxygenated blood. When theres no one there that knows wtf they are doing, that's dangerous.
Tears down there wont cause enough bleeding to die from? Tell that to my friend who damn near did, and my mother who needed a bit of repairing due to a tear.
Complications from birth are indeed rare. That doesn't mean when something goes wrong it can go wrong very quickly.
Not saying they couldn't have had better back up plans, just that the cop is an ahole for writing the ticket for someone using the emergency lane in an emergency.