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Compare Love It or Hate It, where the demographics are not nearly so sharply defined (and the hatedom rarely overshadows the work), and Bile Fascination, a primary reason for people outside the target demographic to investigate.
Contrast Hype Backlash, where a backlash occurs against something people have been told they'd like. Can lead to Deader Than Disco when a work's target demographic stops liking it and joins in on the bashing.
See also Americans Hate Tingle for regional examples. Moral Guardians are a specific type of Periphery Hatedom, who sometimes subvert the trope by directing their complaints at how they think the work will affect its audience.
Tangentially related are Straw Hypocrite (hating someone for not sincerely holding beliefs that the hater never admired in the first place) and Straw Affiliation (criticizing someone for not being a "true" exemplar of a group to which the critic does not belong). Remember, this trope is specifically for examples where the hate comes from not pleasing a group that it never planned to reach in the first place.
Complaining about Shows You Don't Watch when you're fall here unless the work has a Fleeting Demographic (such as a lot of kids' shows, teen pop music, etc.) and the fan has grown out of it.
Otherwise, move it to They Changed It, Now It Sucks.
Also, don't confuse this with the haters of a certain progressive metal band.
Periphery Hatedom is when a character or show receives scorn and hatred from groups it was never meant to appeal to in the first place.