He was not specific, saying only that sometimes problems become bigger than they need to, and my staff feels much angst. I am concerned as to what this might mean for my future. Your reaction to his feedback sounds just like what your manager is talking about. Notice how you're worried about your situation and concerned about your future. You probably acted worried in this meeting, and if he was astute, he'd have pointed that out as an example of how you get.
People tend to worry when they feel threatened.
Sometimes, they feel inadequate to handle something. So they worry by analyzing and planning for something that might never occur. For instance, look at how you're already worried about something that might not even be an issue with your job. Use it as an excuse for not taking action. I know a manager who needs to let an employee go from his job due to an impending reorganization.