Saying something is real, does not make that thing real.
You are not the gatekeeper of what is and is not "misogyny".
Leave women alone? Are women somehow ordained with a shield against any criticism? No one can ever criticize a woman-- following that logic... women are always correct?
That sounds authoritarian to me.
Definition of authoritarian
1 : of, relating to, or favoring blind submission to authority 2 : of, relating to, or favoring a concentration of power in a leader or an elite not constitutionally responsible to the people an authoritarian regime.
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The logic in: criticism != hatred is quite sound.
a definition of criticism: the expression of disapproval of someone or something based on perceived faults or mistakes.
a definition of critique: a detailed analysis and assessment of something
a definition of hatred: intense dislike or ill will
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TLDR: disapproval does not equal intense dislike