When the administration appoints a new director with no experience whatsoever in your academic discipline.
That seems to be the trend these days in bioethics and medical humanities. Look around the country and you'll see new center directors with only little or no background in the field -- no education, no publications, no teaching experience. Often these people are physicians, who are attractive to administrators largely because they can see patients and generate revenue, but not always. Sometimes they are simply career bureaucrats who can be counted on to do nothing dramatic while the center is quietly strangled.