Courteney Cox plays comic book artist Lisa Roberts
Blue Desert on IMDB
'A rape victim, comic strip artist Lisa Roberts is given the runaround by the New York police. Tired with city life, she heads for the wide open spaces of Arizona. Not long afterward, she is propositioned by lowlife Randall Atkins. She reports this to sympathetic local policeman Steve Smith, who replies matter-of-factly that this is not the first time that Atkins has been accused of a sexual offense. To her amazement, Roberts is later visited by Atkins, who agitatedly warns her not to trust the sweet-natured policeman. Someone is lying about something, and Roberts plainly does not know what to believe. When she finds out, it is nearly too late.'
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