On horseback, I feel like you aren't really a man or a woman, you're first and foremost a rider. There's something very powerful about that, given how relentlessly we are told who and what boys and girls should be. We've heard in this thread about boys being seen as "girly" for daring to ride. Go back fifty years or so, and it was the opposite, and still is in many countries.
Unless anyone knows otherwise, I don't think horses can tell the difference? Humans, too, can admire someone's riding and compete against them regardless of their gender. That's just great I think, particularly in this day and age.
But do men and women ride differently?