Don’t panic. Really, just don’t. Sure, big problems do happen and you may have to take action and say that it is urgent/critical/non-negotiable (perhaps even using bold) and escalate to the Gods, but choose the times to do this carefully.
No one likes it when you go bananas about something that really isn’t that important. No one will listen to you if you do it too often. Time will come when you do have a real issue and the villagers simply won’t be around to help.
On the flip-side, if you see people over-reacting in this way, try shouting ‘WOLF!’ at them. Everyone else will love it and you’ll get the point across. Unless they don’t know their fables, in which they’ll just be a little freaked out, which is good enough.