Well, if you read the actual policy (appearing elsewhere a few times in this thread), it appears to state the librarians must help the police in cases such as this. But they did not. This has to be a problem.
I did see the policy, and it had some sort of exception for "exigent" circumstances, I think. That wouldn't be the case here, since the woman had already been treated. I could see a situation where the woman was threatening suicide and her family needed to be contacted as "exigent" but this was not. The police were simply trying to inform her relatives. That isn't an emergency. It could wait 10 minutes, IMHO.