What a Man! (movie, 1944)

Henry Burrows, timid, white-collar worker for the firm of Rankin and Phillips, returns to his bachelor apartment to discover Joan Rankin, whom he does not know, hiding there. She feigns illness, Henry goes for a doctor and returns to find that a gangster has been murdered on his doorstep and the police think he is implicated. They inform him that the gangster's moll, Constance, has escaped. Henry thinks they are talking about Joan.