Faith.
That's what happens when you're leader, I think. It's part of how the job works. People will blindly follow you until something scary starts happening and the options become confusing.
Then they question. Then they doubt.
I can't pretend to know much about that, but I've seen it played out in plenty of situations. I'm gonna repeat what I said before - you can not let this get to you. If you do, it's only going to screw with your focus. If your focus gets screwed, so does the job. Then they'll really have something to throw at you.