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The irrational fear is called a phobia; the experience or object that triggers a phobia could be called a phobic experience or object.
As its name suggests, a specific phobia is the fear of a particular situation or object
There is no specific phobia for Pokemon. There is no known phobia for video games, either, of which Pokemon is.
although there is no audi-specific phobia, there is a phobia called Amaxophobia and it is the fear of riding in a car.
There is probably no specific term for that. But there is a specific term for the one who asked this question. Genius!!!!