Perhaps I can point out where you’ve gone wrong.
Your write: “You’re advocating for a position (the inclusion of male-bodied persons in female sport)”
But I am not advocating for that position.
You write: “I consider such a position to be obviously prejudiced against females”
But the fact that you consider something to be ‘obviously prejudiced’ does not make it so.
You write: “..given that it places the interests of males above those of females.”
But you have not demonstrated that it would do any such thing. For all you know, the interests of females (in general) may be better served by having females competing alongside males.
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My position is not based on any dislike of women or any prejudice against them. Thus, it doesn’t seem reasonable at all for you to describe my position as misogynist.
Feel free to apologise.