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oneirophobia

n. The fear of dreams.

Wikipedia
Oneirophobia

Oneirophobia (from Greek όνειρο (oneiro), meaning "dream", and φόβος ( phobos), meaning "fear") is the fear of dreams. It is discussed in The Dream Frontier, a book by Mark Blechner, a neuro-psychoanalyst at the William Alanson White Institute.

The fear is suffered due to experiences with frightening dreams ( nightmares) or by negative events in the life affecting dreams. Sufferers try to avoid falling asleep.