The Notorious Landlady [1962 - USA] Jack Lemmon comedy

Bill Gridley has just arrived in London to take up his post at the U.S. Embassy. He's also found what he thinks is the perfect apartment: reasonable rent, a fashionable address and a very pretty landlady in the form of Mrs. Carly Hardwicke, whose husband seems to be absent. Unbeknown to him, Carly is under suspicion of having killed her husband. When his boss Franklyn Ambruster realizes what he's done, he contacts Scotland Yard and they press Bill to report on her activities. He takes her out to dinner and causes quite a stir as Carly is easily recognizable, having been recent fodder in the tabloid press. They're clearly falling in love but she is worried about the effect the bad publicity might have on him. Bill doesn't give up so easily.