13 is an utter awful rat to Graham in It Takes You Away, she treats him horrifically as she loses her patience and therefore temper with him and never bothers to apologise for it, but nobody notices because she didn't raise her voice and it wasn't in a situation where she'd be expected to mother him, so it sailed over peoples heads. She lost her temper and she got Mean. She didn't get shouty, she got mean. She's not a yeller when she lets her anger loose, she's sharp and cruel and so very deliberate. And that doesn't track with peoples stereotypes of women, does it? Women are shouty and Shrill when they're angry, apparently.

She does it to the master in the timeless children, she's sharp and mean and cruel and never once raises her voice when she does it (she actually lowers her voice when she's being really mean btw). This did Not happen when you're thinking it did. Not in the matrix room. She had no idea she was scoring a hit against him there because she didn't understand what he was thinking (because he'd deliberately mislead her). It was in another part of the episode. She scores a hit and almost makes him cry and nobody cares or notices because it's not in a situation where she's supposed to be mothering him while he's all sad. He was being a jerk, she hit out deliberately below the belt and won that round, the end.

It's no that I think 13 isn't at times objectively shitty as a person, because she IS, she certainly was to Graham in the moment above. It's just that instead of looking at the Actual moments on screen when she sucks and dragging her for being shitty person, people have to resort to making up things to accuse her of that are Very gendered (as in, things women are going to get slammed for in society based upon sexist ideology) that never even happen, simply because they didn't pay enough attention to notice her being a crappy Person to drag her for that/they don't actually care if she's in general a lousy person at all.

Because they don't Want her to be a crappy person, that doesn't achieve anything.

They want her to be a crappy Woman.