The Golden Gate Murders(1979)

An elderly, venerable priest goes over the side of the Golden Gate Bridge and everyone except his nurse, Sister Benecia, believes that it was suicide. Sister Benecia finally manages to convince the police department to assign a detective, the cynical, irascible Paul Silver, to investigate. The "Mad Nun" and the "Mad Cop" become a formidable investigative team -- and much, much more.