You searched for: “mythophobia
mythophobia (s) (noun) (no plural)
1. An unreasonable apprehension about making false statements; an unnatural fear of incorrectness: Some teachers have mythophobia because they are afraid of saying something wrong in front of their students!
2. A pathological fear of stories or myths: In some cases parents have mythophobia in that they don't want their children to read fairy tales, legends, sagas or fables with the possibility that their children might believe them to be true!