Eh, I don’t see why being a woman has to be an important part of a character, it’s cool to see when it is, but people can have many important qualities in their life besides their gender.
As a kid I didn’t really think much of the gender when thinking about characters, heck, one of my biggest heroes was Chihiro from spirited away and I’m sure as heck she didn’t have a penis like I do.
Haven’t read the manga, but at least in stand alone complex when talking about the accident and her recovery in third person, I feel like she was referred to as a girl, though I’m honestly not sure if that’s important at all, the way she talks about herself in the adaptations I’ve seen, she seems to put her personality above everything else relating her past or identity, she is her actions, not her backstory (or that’s how I perceive it in the versions I’ve seen, except maybe the first season of the latest one).