If to love or like something is *phile, and to fear something is *phobia, then what is to hate something?

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    The word is "phobia". Not only to to form nouns meaning fear, but also nouns meaning hate, dislike, contempt, or repression of a specific thing. e.g. homophobia (hate, not fear) – Centaurus Jul 25 '16 at 12:41
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    See prefix miso in the OED – ab2 Jul 25 '16 at 13:00
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    Hatred isn't necessarily loathing. To my mind, loathing involves an element of repulsion, whereas hatred is entirely self-driven. – Andrew Leach Jul 25 '16 at 13:01

You could try miso-.

Common example would be: philogyny is love for women

misogyny is hatred for women

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