A good executive does delegate authority. She got caught when she stopped doing that. Probably happened when someone was out on vacation and she was shorthanded.
More likely, a mistreated employee decided to check her out, and blew the whistle. Mere incompetence won't get an AA fired. You just learn to work around the problem.
Or perhaps a Tulane classmate noticed a difference in appearance. Was the victim of the identity theft even Black?
In any event, crime isn't unknown in the New Orleans law enforcement community. Sounded like her previous job might have been a better fit.