First of all, I'm so very sorry that your little girl has this. She's in good hands with you though!
Rather than just sit around waiting for the LLMD, I would at least start her on the three main herbs from Buhner's Lyme protocol - Japanese knotweed, Cat's Claw and Eleuthero. Just be sure to go to Buhner's site or one of his books to get the correct dosage for your daughter's size. buhnerhealinglyme.com/the-protocols/