I have 2 accelerated boys ( DS8 is finishing 7th grade and DS5 is finishing 3rd grade) and the social argument is just not strong enough to discourage children from being who they are and not allowing them the access to the resources they need.
Having experienced this with both boys, gifted children ( especially profoundly gifted ones) will act out in anti-social or anti-authoritative means if their academic energies are not allowed to be challenged to their true potential.
Eventually they will get cynical of school which over years of boredom will be perceived as a colossal waste of time.
If you have the means, I would recommend a private school that could assist them ( if one exists) with their academic potential or extra-curricular mentoring/learning centers/activities ( ie chess club or a math club).
Not knowing what your DD's gifted talent(s) are it will be up to you to look around at something they can look forward to
