Some anime have little or no blood in situations where you’d think somebody would be bleeding, but at the other extreme are the ones where people bleed far too much.
Biological sex isn’t always as clear-cut as “everyone is either male or female”. There are whole classes of ways someone can be in between. Rather than risk getting anything wrong on about a topic like this I’m just going to provide a link.
Alice, one of the main characters in Project Quintessence, is intersex. Her specific condition isn’t named because, well, I couldn’t find a name for it. (The details are modeled after a real person, but that person doesn’t know a specific name for it either.)