I agree with MON.
My dd12 had similar scores. She was in a small private Montessori until the end of 5th grade, she seemed mostly happy but in retrospect there are steps we could have taken that I think would have addressed perfectionism sooner and been beneficial. She just skipped 6th grade in a large, competitive public middle school with a large population of kids IDed as gifted and is doing well (all grades high As in advanced classes). The skip is not perfect and I honestly think it still doesn't require much effort compared to what most kids in her classes are putting in, but it was the right choice. Thankfully she loves her English teacher which is wonderful.
I would encourage you to check out the SENG website and also take a look at the Iowa Acceleration Scale. I think sometimes gifted girls really need more advocacy than it seems because even if they are not learning and miserable about some aspects of school they can tend to blend in and still be compliant.
Good luck.