No Cherrytart I have not (provided a gender neutral environment) sadly I have lots of issues with who does what but that is another thread
Actually, it seems like this is really the crux of the issue OP. I am not saying this in a blame type way - the society that we all live in is not gender neutral, just wandering around the supermarket one is exposed to blue/pink categorisation of all sorts of stuff. However, you har identified that you have issues with gender stereotyping yourself - your daughter sounds very intelligent and observant, she has picked up on this, naturally. 'Being a girl' can seem restrictive - sit and play quietly, be polite, behave, look pretty, concede to others..... 'being a boy' sounds much more fun - rough and tumble, active play, contact sports, being strong, being listened to. What child wouldn't prefer to 'be a boy' if they perceive the world as treating boys in the way they would like to be treated?
Clearly you care deeply about your child's happiness, but it doesn't really sound like she's that unhappy from what you post? She sounds like an active, intelligent girl with a deep sense of equality/social justice - just not yet the capacity or experience to translate that against a confusing world that both constantly reinforces gender stereotyping and also tells her girls can become boys if they want to, or that perhaps her body could be 'wrong' and she could have surgery to make it 'right'.
Your question in your OP was should you ask for a GP referral (to CAMHS or a gender identity service I assume) or carry on as you are. I would say neither. I would not medicalise her, because there is nothing wrong with her and she does not need fixing. However, I would gently be challenging her worldview and exploring the issues with her from a gender critical viewpoint - looking at strong/active female role models is a brilliant start - England (assuming you are English here!) are the current world champions in women's cricket. The rugby World Cup is currently being played in Ireland, you could watch some matches this weekend. Nicola Adams the Olympic boxer now turned professional, bucking gender stereotypes all over the shop. She's interested in history - does she know about the Sufragettes? Women's Land Army? Giving her hair to charity is a wonderful thing to have done at such a young age, and her interest in who she was helping not being restricted by their sex is hugely admirable. Does she know about Malala Yousafzai? Exploring how women and girls are treated differently in society to men and boys - focusing on the social attitudes, rather than assuming this is down to inherent qualities of the sexes. Address sexuality in an age appropriate way - relationship and family models other than heterosexual. Start to explore social justice issues more widely perhaps, issues of race and poverty etc.
To summarise, I would suggest you should
- Consistently reassure her there is nothing wrong with her, or her body
- It is ok to not want to be treated 'like a girl' - start to challenge ideas of 'like a girl/boy' and explore stereotyping
- Explore role models like all those listed above
- Challenge and explore gender stereotypes wherever you see them together. Confirm to her the fact she is female is not a barrier to any of the things she wants to do - she can wrestle, play football, have short hair, read bloody Horrid Henry. These things are not 'for boys' or 'for girls'. They are for anyone who likes wrestling, football, short hair or irritating children
- Gently correct any misunderstandings she is picking up about gender and sex, and what is and isn't possible. I think the cruellest thing about 'transing' children (I hate the term) is leading children to believe that it is possible for them to 'change sex' - it is just setting them up for a lifetime of inadequacy. If she believes that a woman having a mastectomy makes them a man - explain that no, then she would be a woman without breasts, with surgical scars and unable to lactate. If women's breasts are large and causing problems they can be reduced in size to make them more comfortable. And so on.
You sound like a deeply caring mother, and I'm sorry if you feel that some gender critical posts are not supportive. But absolutely, rather than acknowledging your own biases and saying they're not relavent here - I feel it's all going to be part and parcel, and the way to go is to focus on the bigger picture, as a whole family - your husband needs to be on board too.