Do not let her think that you pulled her because it was "hard" or that she has that kind of power, though-- because that one is a deadly combo with the perfectionism you have already seen.
Is it possible for you to do private music lessons or something like swimming/other sports?
Those would be things that would push against that Goldilocks mentality (which you have SO RIGHTLY identified as perfectionism!!)-- I'd elicit a promise that once you sign up, sticking with it through ________ is a requirement, and discuss how it may feel "too hard" sometimes, but that it can also feel really, really, REALLY good to be proud of something that it has taken a lot of hard work to accomplish.
