I agree, OP. You said you were wondering how best to support your daughter, and I’d honestly be looking at educating yourself about different kinds of neurodivergence, per the conversation here. Not as a means of labelling your child’s intelligence, but as a route to understanding her potential needs.
It’s not the brightness/need for stimulation per se that creates difficulties, but the potential issues arising further down the line for a child who is likely to face challenges because they’re wired a bit differently to others.
Awareness of this would have been life-changing for us had we known when DS was young. As it was, we were astonished at his communication abilities (fully verbal and could not only hold a conversation at 2, but bring logic and ideas to any discussion). Learned to read and write quickly and without effort. He was the only experience I’d had of children, so it wasn’t until he went to pre-school that I realised that little kids of 2 or 3 are usually still just babies, some almost non-verbal and some in nappies.
We managed to keep him interested and on track through school until GCSE, and after that the wheels came off and we had pretty much 4 years of hell, wracked with anxiety - drug-taking spirals, depression, horrible episodes of dissociation - until he was diagnosed with severe ADHD (potentially AuDHD) and given medication that totally changed the outlook for all of us.
He’s now a balanced, happy adult, living a good life, but I feel like we all had to walk through fire to get there.
Seems crazy we were so naive, given that both DH and I were in programmes that were essentially for gifted children when we were little kids, but we had no real idea of how ND we both are until very recently, and life would have been a hell of a lot easier to navigate if we’d had access to the information (and cultural acceptance) that’s readily available now.