Condescension
really doesn't help anyone, particularly when the person you're being condescending to has raised some perfectly reasonable points/questions. If you disagree with them, explain why in a calm, reasonable manner. Not everyone who disagrees with you in a feminism debate is "the enemy" or a rabid, lost cause MRA.
Secondly, sexism against men certainly does exist, and it doesn't harm my standing as a feminist to admit as much. It's like racism again white people: certainly not as rampant as misogyny/racism against POC, and usually on an individual rather than an institutional or societal level, but it exists to a certain extent.
Third, I'll agree with the others who've commented on your reaction to my photo. Gotta admit, I laughed. "I'm just talking about the dudes, honest"? Ok then, what about my dad, who I've already mentioned in this thread as my inspiration for wearing a fedora? He's a fifty-something doctor who rocks a whole series of fedoras and straw Panama hats as his signature look. Maybe you just meant younger dudes then? I have a friend who's a pretty sharp-dressed man with a thing for vintage fashion (he's infinitely more into fashion than I am - yay for role reversal

). When he wears a fedora he does it the old-fashioned way, with a suit. He looks great, in no way sleazy or socially awkward. Just overweight, bearded gamers who match their trilbies with jeans and a graphic t-shirt? Well, we're getting incredibly specific here but hell, I've known a few guys who match that description and they were in no way misogynistic.
If you think fedoras make people look like twats that's entirely your call, and please don't feel obliged to make an exception for me just because it'd be a bit awkward otherwise. I think people who wear trainers outside the gym look silly, but that doesn't mean I can judge their personalities or beliefs. Plus I used to have long, bright blue hair, so what do I know?