I nearly went through puberty at age 4.  Only when a "bone age" x-ray revealed physiological age to be 7 did the good doctors put me on a high dose of prednisone to stunt my rapid growth.  (I would request this type of x-ray, or its modern equivalent, immediately.)  In first grade, age 6, I was a head taller than all of my classmates.  By sixth grade,  I had only grown two inches, and was no longer the tallest kid around.  Luckily for me, they stopped the onset of puberty until age 12.  So I guess my message is -- find an endocrinologist who’s willing to work with your daughter to give her enough steroids to delay any further development and growth until a more appropriate age.   Perhaps there are downsides to interrupting puberty once it has started, but there are also concerns about what happens to a young body when it grows too rapidly.   If you are not happy with your current doc, find another.  I hope this helps at least a little.  Keep the faith.  Best, Eric