If they were to do dyslexia-specific testing, and she were identified, the intervention ideally would be some version of Orton-Gillingham or Wilson reading, which is the basis for AAS's home program.
Specific Learning Disability doesn't really get more specific than SLD with an academic area appended to it. There are eight:
oral expression
listening comprehension
basic reading skills
reading fluency
reading comprehension
written expression
math calculations
math reasoning
IEP software I've seen doesn't usually have a field to put the category of SLD (though it may be in the IEP somewhere, just not an obvious place).
Dyslexia, in IEP language, would be "specific learning disability in basic reading skills". Unless the phonological processing and basic decoding of unknown words testing are done, and reveal personal or normative deficits, this classification would not be supportable based on your existing testing. The primary intervention that is not likely to be available without the classification is OG reading instruction, which would be ideal to have throughout the school year, but which, yes, you could cover through supplementation with AAS.
