Per the ADHD concern, girls tend to have the inattentive presentation more often than the hyperactive/impulsive, which does make it more difficult to identify. However, at her age it could just be that her prefrontal cortex is just developing at it's own pace and will catch up. There is so much overlap between gifted traits and ADHD symptoms that it is very difficult to tell. As a mental health clinician, I always focus more on how well a child can focus during a conversation rather than schoolwork (too many variable in schoolwork). Anxiety can also present as ADHD, and it sounds like many gifted children have higher levels of anxiety than typical children.