I toured it twice a couple of years ago and this is what made it special for me when I visited (caveat - this may well have all changed)...
The impressive HM at the time had been given carte blanche to develop the school to his own spec. I think he had a degree in engineering from Exeter or something but he relished the task and the building itself is wired & tubed up to the highest spec - air con, sound proof windows (it is very quiet inside given it's next to a main road), nice tech touches like thumbprint canteen passes. The classrooms and corridors were all spacious and carpeted which might not sound like a big deal but it made for a softer more serene experience at transition time! Most schools are hard flooring.
The DT room was a thing of wonder (again, down to the founding HM who built what he'd want himself).
There was a great parent's room with tea, coffee books etc.
The whole school was painted in fresh, block bright colours.
The sixth form centre looked like a Firmdale Soho boutique hotel. It was gorgeous & I did not want to leave.
The school does a three year GSCE course arguing that year 9 is otherwise a bit of a wasted year. They also have the 2 hour lessons so the pupils can really get their teeth into a subject in one session.
Class size was good at 22 max but most classes were 16-18 and far less in the A level classes (I saw 1:1 happening!)
They set in maths & english in yr 7 and science in year 8 (many schools I've had offers for this year for DD only set maths in year 8 and no other sets.
They had a policy at the time of never using supply teachers
The thing I liked the most was the fact that your child would be assigned a personal tutor who they would stay with for the duration of their school career - I thought that was amazing. The tutor groups were vertically integrated so you'd be in with a mix of 15 others from different year groups. Siblings would be assigned the same personal tutor. It means there was a contact at the school that really got to know your child. I really liked the idea of that (as long as it was a good teacher!!!)
Reports were 6 times a year with an annual meeting with the personal tutor in September and then by appointment. There were no scheduled parents evenings (trust me these are like unsatisfying sped dating events at other schools) which instead could be requested on demand
All of the above felt quite different from the more traditional approach and I loved it. It just felt well thought out from scratch rather than someone just replicating what has already been done for years
DS got waitlisted as did everyone else who applied from our school. Both feeder preps and siblings are given an automatic offer leaving hardly any places for 'external' offers so the waitlist is heavily used at Kew but we were sitting on an exploding offer at Radnor so snapped that up.
DS has the same interests/profile as your daughter minus the music. It sounds like a great fit for her!
Hope the above helps. I really liked the school