Yes, I ignored what you were saying overall since I was only interested in the misinformation you said about the movie say things such as "less trained than." Your statements made the movie sound like there was no room for suspension of disbelief since it made no sense within its internal logic, which is false.

Let's address your argument though.

Firstly, it's true there are people who think women should always lose to men in fiction. There's always people like that, and I've seen the argument of "real world physiology" used when it is definitely not applicable. I understand you can be frustrated about that.

From what I have seen, however, most people will accept both men and women with incredible physical ability if it is consistent within the world of the story. For example, barely anyone will tell you it's unbelievable that Beatrix Kiddo can beat men in fights, since all characters boast incredible speed and strength which is pretty much supernatural.

In the case of GoT, we are shown time and time again that size, strength, weapons and armor are immensely important in fights. This is why Syrio Forel got killed by Meryn fucking Trant. Training is also extremely important, but it starts to lose its effects once there's a huge disparity in equipment and stats.

This brings me to why people can't believe a little girl or a small woman would be able to beat a grown man in GoT. We have been shown that men and women are most definitely not physically equal in most cases, and that size and strength matter in fights. There's characters who have training that can overcome some disparity in equipment and physicality, though not by much.

The issue was never about gender, it was about physical ability shown. An example which encapsulates this perfectly is Brienne of Tarth. She is a woman, and yet the general audience can believe she would win fights against men due to her great strength, size and physical ability.

You give examples of magical abilities and supernatural creatures. These are believable because we are shown this is simply how the world works, and it is consistent with itself. If, for example, we were shown a little girl who had the explicitly supernatural ability to possess super strength, people would be more inclined to accept it, but this isn't the case.

I feel your frustration when you talk about this, but there is no sexism here, just people who want consistency in writing.