Yes . She should be sacked. She has bought the police service into disrepute. If told she cannot appear in a TV show then she has disobeyed a lawful order within a discipline code that you are pledged to abide by.Technically a police officer is not allowed to get himself inebriated off duty or even get sunburnt.( Contrary to Discipline Code.) That is rendering oneself unfit for duty.
My father had a biography written about his service with his, at the time,quite famous police dog. It was written by a well known,at the time, BBC producer Richard Afton. My father was not allowed ,by the Commissioner of Police whose permission had to be sought first, to have the book published whilst he was a serving officer. My father would of been dismissed if he disobeyed that order. I still have the manuscript. :-(