Perhaps by standards of the law...sure. But by the standards of society they are also required to protect and aid citizens. If that woman had died because she hadn't gotten in to the hospital quickly enough, he could have been DIRECTLY responsible. That is inexcusable. You can't just FAKE a stroke. A glance at the woman's face should have told the policeman what was going on, and instead he detained them far longer than appropriate.

If the woman had been gushing blood, would he have detained the as well? Or would that have been "Serious enough" that he would have let them past without harassment?

this wasn't just a police officer stopping them on the way in to a building for treating a few red lights inappropriately...

This was a police officer actively preventing someone having a stroke from entering a hospital.

As a human being, he has no excuse and I dearly hope the police department does not hide behind their shield of papers.