Do you know what the policy is in terms of them accepting kids into the program? Scores on certain tests? Teacher recommendation? Find out that policy and what area is making them "stall". Here, the school board approves the policy so there is something win writing, although administrators were not necessarily forthcoming with the information (or they interpreted it in bizarre ways or attempted to change it without it going through the school board).
With our district testing, they figure out which kids are scoring above a certain percentile on computerized math/reading testing, and then send those parents a permission form for the kid to take a cognitive abilities test. Then they pull all those kids out as a group. If a child doesn't meet the initial reading/math cut-offs a parent can still request cognitive testing (although it would be harder to ultimately qualify for anything without the reading/math scores). Based on the CogAT and the reading/math they decide if kids are eligible. So I'm not really clear on the process in your school. Are they pulling kids out one-by-one for some sort of IQ test? Do you have outside scores you can submit? Right now, is he missing out on gifted programming? I assume you have been in contact with some sort of g/t coordinator (or someone who arranges this testing). If you don't get anywhere, I would figure out who supervises her, and call that person. Ask for a copy of the g/t policy.