Le combat dans l'île / Fire and Ice (1962)

The son of a French industrialist, Clément is a right wing extremist who belongs to a secret militant right wing organization that uses whatever means necessary, including violence, to achieve its goals. His wife Anne, a former German actress who gave up her career to be the doting wife, knows somewhat of his extremist views, and suspects he would indeed kill if need be as witnessed by what she finds hidden in their house. He often treats her poorly, especially out in public as she maintains the façade of her former celebrity, which he believes is her acting like a whore. Regardless, she is compelled to stay in the marriage. After he and a right wing colleague assassinate a Communist figure, that assassination which goes slightly awry, Clément and Anne hide out in the country home of Clément's childhood friend, Paul, who knows nothing about Clément's extremist views.

IMDB