Actually, that is exactly your case. You place an appeal to nature next to claims of why the story is not an example of sexism. You supplied a nature-derived argument as a counter to my argument that the behavior fit your definition of sexism. You are arguing that naturally explained behavior is not sexist! And simultaneously you are denying the conclusions of that argument.

I don't mind telling you either, that a key part of your argument is actually bullshit. You're relying entirely on categorical statements about an entire class of people, substantiated with nothing more than intuition and a trip to Cancun!

It's amazing that, with an argument like this, you could be so smug as to suggest a reading of a list of fallacies. You should go into sales.