Castaway (1986)

Directed by Nicolas Roeg

Middle-aged Gerald Kingsland advertises in a London paper for a female companion to spend a year with him on a desert island. Young Lucy Irving takes a chance on contacting him, but once on the island, things prove a lot less idyllic than in the movies. Gradually, it becomes clear that it is Lucy who has the desire and the strength to try and see the year through.