I have an idea maybe you like it or not. You can show various reasons for which your character started hating humankind, you can show one angle of humans being so greedy, irrelevant, lustful and envious (etc) of each other that no matter what happens they just want to fulfill their ambition, their ideas without having a second guess of what it's consequence might be. They just want to show their superiority complex showing dominance over everyone and just want to stand alone on the peak over everyone else. By this they're doing some meagre and pathetic things to other innocent or helpless people or animals like cutting trees or cleaning the forest so that they can have enough land to establish their empire, they're killing each other for profit or maybe just for fun, they're robbing each other for their money or for their goods and humans are making this very mother earth a living hell, and various other reasons that you can showcase. Maybe you can take help of the real world too for your ideas, take a look of what's happening around you, sense little things, perceive it, experience it like what is it?, why is it happening?, and you can also watch some news, see what's happening, frame it on your mind, make a story angle.
Also, I have a suggestion for your character if you like it, then I'm happy. How about you show character as a very highly sensitive person, because as you said she is a female, and she was 13 years old when she witnessed something, so make it like the moment she was born she was very highly sensitive of herself and people and environment around her and it is a scientific study that suggest that highly sensitive person tend to experience and sense the world around them more vividly and in more exponential manner then any other people. So, what will happen is that the story will sound more logical that she was 13, she was highly sensitive and she perceived the world more quickly then other people so she started taking actions.
Also, one more thing, how about if you make character like, at first she took this huge and abrupt steps to change the world once and for all but as she started progressing she came to the terms that not everything goes according to our plans and sometimes if we try to change it we end up making it more worse and this will be turning point of your story because your character went through a deep introspective extension where she started confessing about what's good and what's bad and this will make your story more appealing and beautiful to the readers because then every dots are connected, you have your whats now, you have your whys, you have your hows and you have your result also which for me are the main foundations of writing and storytelling.
So, that's it for me, see you along the journey
Till then good luck with your story.