NYPD Blue S05E15 - Don't Kill the Messenger

A nurse is strangled and stabbed to death. Suspicion initially falls on a mental patient at the hospital she worked at, but Andy and Bobby later learn she was having an affair with a married uniform cop named Tommy Richardson, and try to prove he did the crime. Jill uses a trick involving a soda can to get a mute suspect to confess. Andy's doctor comes to the precinct to get him to face his bad health news, but Andy loses his temper and throws the guy out of the 15th.