Tonton Streaming Tales from the Darkside (1984) S1E23 - The False Prophet

Cassie Pines is a woman travelling on her own who believes in astrology, tea leaves...everything. She comes into a diner with a most unusual mechanical fortune teller named Horace X. "Horace" is uncanny with his predictions but Cassie soon finds that Horace is demanding and possessive - despite her misgivings she enters the booth one more time...and disappears.