Yes. That is the formal number for her IQ, however, the GAI likely is a better description of her real thinking and learning ability, as her ability to produce relatively easier work quickly and efficiently is not currently at the same level as her ability to solve complex problems. This is not unusual either for GT individuals, or for young children, who often don't have the fine motor skills to match their thinking skills.
So you could reasonably describe her iQ as either the FSIQ number or the GAI number. Both are in the gifted range, though one is more commonly considered MG (moderately gifted), while the other is often considered HG (highly gifted), depending on whose classification system you use.
