According to this list of phobias, there is not a specific phobia for fear of fictional characters:
The closest ones in this list are coulrophobia (fear of clowns), sanguivoriphobia (fear of vampires), etc.
Teratophobia is somewhat close. Wiktionary definition:
An irrational fear of monsters.
The definition of phobia is:
An extreme or irrational fear of or aversion to something.
Phobias tend to be very specific. You've asked for a "Term for the Fear of Fictional Characters." "Fictional characters" is an all-encompassing term that includes every type of physical feature imaginable. I'm not sure there is one individual on Earth who truly has a phobia of all fictional characters. How could anyone have a phobic relationship with this guy?
(...that is, unless you have dumasaphobia.)
Phobias are not just simple fears, but anxiety disorders. Perhaps no dedicated phobia exists for fear of evil fictional characters because—at least while one is following the story—it is expected (and indeed rational) to fear the villains.