Headington is probably seen as slightly more academic and a bit more competitive, Queen Anne’s slightly softer. Due to their locations (very urban vs countrysidey) the schools have very different vibes plus QA has more boarders and this, again, this changes the dynamic.
We visited both on open days only and I liked them both for different reasons but neither felt entirely “right”. We were looking at a Mon to Thu weekly boarding place though.
Headington is more of a Monday to Friday school for non boarders (matches aside, especially lacrosse). Queen Anne’s has a lot of Saturday activities that day girls are encouraged to join in.
As Headington is an all through school and the great majority of girls go all through, then if your daughter is super sporty she might find the school A teams are already fairly established and hard to break into (something that happens at our local all through school).
QA has the benefit of everyone starts new at 11 (or 13) so there’s none of that. Everybody gets to start afresh and make their mark.
Headington feels more “gutsy” though.
I think they are just both quite different schools. It was much easier to get a feel on physical open days - I really don’t envy anyone trying to choose a school at the moment with everything being done virtually.