Possibly. It does sound like your DD meets the criteria for utilizing the GAI instead of the FSIQ. Here is a link to the NAGC's position on calculating GAI.
http://www.nagc.org/index.aspx?id=2455
If your DD does in fact meet the guidelines I would ask the psych to include a GAI calculation on her score report along with a statement as to why the GAI should be used instead of the FSIQ.

Another think to consider- your school district may or may not accept GAI for admission to the gifted program. My DD's school district uses FSIQ only. Hope that helps!