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The official definition for the word misogynist is "a person who dislikes, despises, or is strongly prejudiced against women."
The word misogynist is a noun. A misogynist is someone who hates women.
Misogynist
A woman hater is commonly referred to as a misogynist.
That seems like a misspelling of the word misogynist. A misogynist is someone who hates women.