I work in the child psychology field so thought I’d give you my view. I think she could have a bit of neurodiversity but if it’s not affecting her negatively there’s likely no need to peruse support for her. Although maybe in her teen years she will need some counselling if she is getting shunned a lot and loses confidence.
I was this kid, I was ‘weird’ and never quite fit in, I still don’t. I don’t really conform and find most girly/ feminine conversations silly and boring. My sense of humour is only understood by a few. I fit in more with boys when I was younger but now I just have a few close friends who I can rely on, they are also a bit ‘eccentric’ I would say. I wish I had more friends, more of a girl gang, I’ve had this in the past but felt like I had to constantly be fake and act like a sheep to keep up with them. It’s exhausting.
my point is, it is lonely to be a bit different but there’s not much you can do to change it. Changing it will only break her confidence/ ruin her self worth. Think of a trait you might have, for example are you introverted or extrovertd? Imagine someone telling you this trait is wrong, that you need to change etc., you might end up faking it but you wouldn’t be able to change it and faking it will effect your mental health over time. it’s the same for your DD.
Saying that, it’s important to help her find her tribe, what are her interests? Could she join some something niche and nerdy? Drama, Minecraft, arts/ crafts clubs? I’m sure there’s more niche interests than this that she might enjoy.
you may have to guide her a bit more to have manners/ read the room but do this in a sensitive way. Criticism wont help her but constructive feedback and connecting/ accepting will help.
Would she get on with boys more? Could you try find her some boy mates? Or clubs more common with boys? I say this because her behaviour sounds a bit more boyish than girlish which is fine.