I just want to highlight that this is an example of the unhealthy dilemma pointed out by Miraca Gross:
Thus the gifted child is placed in the forced dilemma of choosing to minimize intellectual interests and passions for the sake of sustaining peer relations or of pursuing intellectual interests at the cost of becoming socially isolated...

As Gross poignantly added "The gifted must be one of the few remaining groups in our society who are compelled, by the constraints of the educative and social system within which they operate, to choose which of two basic psychological needs should be fulfilled."