I agree that some have been harsh to the child for things children do and the question about whether the school will support her threat has kinda disappeared. I'm not sure what the school will do - when I tried out different names as a kid, the teachers would usually use it though it wasn't on any official registers and they didn't do anything about what the other kids did. It sounds to me like a child using her classmates and classroom to try to figure out things which should would be better with other space to work on, both for her and her peers. Sadly, it's pretty rare to have that which I think makes the difficulties of growing up. I mean, at that age, the school I was in (in the US) had weekly group therapy for kids struggling with things like gender or issues at home, which was amazing for me and I think more kids would benefit from that, but the lack of funding and well-being just isn't enough of a priority with all the rest schools have to do.
I'm confused how some of these terms bring clarity or are useful. Stonewall defines trans as "an umbrella term to describe people whose gender is not the same as, or does not sit comfortably with, the sex they were assigned at birth. Trans people may describe themselves using one or more of a wide variety of terms, including (but not limited to) Transgender, Transsexual, Gender-queer (GQ), Gender-fluid, Non-binary, Gender-variant, Crossdresser, Genderless, Agender, Nongender, Third gender, Two-spirit, Bi-gender, Trans man, Trans woman,Trans masculine, Trans feminine and Neutrois." and cis as "someone whose gender identity is the same as the sex they were assigned at birth. Non-trans is also used by some people." I mean, we can use whatever words we want - freedom of expression is still a thing - I just don't get how calling a dysphoric people who doesn't identify as anything under the trans umbrella as cis makes things any clearer for anyone.
Their definition of gender dysphoria is "used to describe when a person experiences discomfort or distress because there is a mismatch between their sex assigned at birth and their gender identity. This is also the clinical diagnosis for someone who doesn’t feel comfortable with the gender they were assigned at birth." which looks a lot like their definition of trans. How is saying trans people are dysphoric 'actively harmful'? Why do we want to say that getting distressed by our sex is mentally healthy?
Also, their definition of gender is "often expressed in terms of masculinity and femininity, gender is largely culturally determined and is assumed from the sex assigned at birth." which is pretty close to the medical one given by the WHO which is "refers to the socially constructed roles, behaviours, activities, and attributes that a given society considers appropriate for men and women". Neither of which say anything about innate characteristics, in fact they say just the opposite - they are socially and culturally applied to people. I really don't get where the 'full weight' comes from when both the medical and LGBTQ+ defines gender as not being innate.
Also, intersex activists are generally strongly for ensuring all children are defined as female or male at birth both for the importance culturally and it's requirement in medical treatment as many of the treatments for most DSDs are reliant on the person's sex. Intersex Society of North America, which is one the largest, has a lot written on how the idea of delaying for intersex kids causes more problems than it solves particularly now we know that intersex people are no more likely to be dysphoric than anyone else and we can stop unneeded surgical treatments and still recognize who is female and male.
I can get the idea that sex and gender can both be axis of oppression, though I - and others I've read - view gender as a socially applied to enforce sexism which is why feminine boys and men like my son face a lot of crap to keep the system going, but the idea that female people are not oppressed for our sex is just...what in the universe are you reading that you think baby girls being abused and murdered has anything nothing to do with their bodies, their sex? What in what you read explains why there are so many sites now where males of all identities openly discuss wanting to rape trans men? I mean, there has just been another story of a 3 month old girl whose father broke her ribs in 28 places and has left her lifelong brain damage because he thought that was an appropriate way to express that he wanted a son and a not a daughter not far from where I grew up an abused, unwanted female child often hearing horrible stories of the results of people being unhappy at the birth of a girl. Seriously, just what have you read that erases our bodies - which surely should get just as much consideration as our innate whatever and the target of that oppression, it is our bodies that are targetted and not our gender - when it comes to why girls and women around the world are violated? That's just so insulting on so many levels. It's women with female bodies that are seen as unimportant, not our innate essence or more masculine women wouldn't get the shit we do to keep us in place either.