嫌い dislike (less strong than hate)
大嫌い hate (big dislike)
The sentence already has 大 so adding the 嫌い would make it “hate”
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Interesting… perhaps I am misunderstanding the use of 「いる」here, but: 「嫌いなアニメキャラクターはいる？」Anime characters are treated as living entities? I wonder if this because they’re representative of lifeforms (eg, typically a humanoid or anthropomorphic humanoid character).