She did everything that she should have done, there was no more that was required. That it was not sufficient is the fault of the police, not the hospital.
I agree. I'll go one more and say that she went above and beyond what was required.
I am not blaming the hospital for the police's bad behavior. I am blaming the hospital for leaving a mid-level staff hanging in the wind, when higher level staff members were undoubtedly in the building.
As Bob stated, the police understand hierarchy - including the University police. The detective could probably have understood that arresting a hospital executive in a suit would be more bad than a nurse in scrubs - he just failed to understand that this particular nurse perhaps had a boatload more personal confidence than the average nurse, being a two-time Olympian and all that. He literally did not know who he was messing with.
Had a higher level exec been there, the University police might not have been as passive, being that the hospital is essentially just a different department of their own employer - the University.
Bosses have a purpose, and that goes beyond telling employees what to do. Bosses support the ability of the employees to do the job - they failed to make any effort to do so here.
The police are at fault. That does not negate the fact that faced with a crisis, the hospital and the university police reacted passively and poorly, letting down their employees in the process.
ETA: I don't know if sending a higher level employee would have stopped the police. That's not the point. The point is that the hospital and the university have a duty to protect their staff members. Maybe they could have prevented her arrest, maybe someone else would have been arrested instead. We don't know, because the only real-time support they gave her as a phone call from her direct supervisor. They failed to provide her with any meaningful support - that's poor supervision and it is unprofessional