I don't know if it is a gifted trait - but my youngest had major stage fright at that age. Our church is very large and when the childrens choir sang in front, she would just freeze up. The choir director, who had years of experience, told me to just give her time and to not make a big deal of it.
Fast forward a few years - she totally loves to be in front of an audience and has successfully and happily played lead rolls in plays and sings solos in church.