The Fugitive (1963)

On the run from the Nevada State Police, Kimble hitches a ride with Sister Veronica, a nun traveling to Sacramento where she plans to renounce her vows. After fixing her car when it breaks down, Kimble agrees to travel with Veronica only to the nearest train station. But Veronica belives Kimble to be her savior and insists that he tag along with her all the way to Sacramento.