Small nomenclature note: typically, if a student scores in the top 1% of the state, that is reported as the 99th %ile. The 1st %ile would be at the lowest extreme of performance.
Depending on where you live, GT may be handled through special education, or separately (it sounds like its through special ed where you are). If through special ed, then you request evaluation from your school district of residence, which then provides the testing (unless they contract with your charter school, but even then, the charter school doesn't make the decisions about testing). Actually, even GT testing not through special ed is generally handled by your LEA (district of residence). So while it's a nice courtesy, and more likely to promote collaboration, to notify your charter's special ed director that you are pursuing evaluation, they probably won't have much to do with it, until after the fact.
You also note that you have concerns about a possible qualifying disability, in which case you have two evaluation questions: GT and ADHD (which may affect acceleration options, as executive functions tend to accelerate right along with academic instructional level). These are both legitimate reasons for requesting an initial evaluation by your LEA, and speak to your due diligence in responsibly parenting her for areas in need both of extension and of support.
Find out what her needs are first, and then go from there with the educational plan. One step at a time!
