Prescription: Murder (1968)
Doctor Ray Flemming is a Psychiatrist, he is married to Carol who is a rich woman and one of his patients is Joan Hudson who is also his lover. Ray decides to murder his wife with Joan's help. And so he does, making sure he has a perfect alibi. Lt. Columbo is in charge of the investigation and he is almost sure that Doctor Flemming is guilty. So a duel starts between the cold Doctor and the seemingly naive detective.