If the trainer is everything you've been told he is, and you cannot train her then it is probably money well spent. Especially if someone else is picking up the tab.
You really do not want this puppy to continue on the path it is currently heading down.
An untrained GSD is a pita and unhappy at the least, and could become dangerous worst case.
If you wish for you and this dog to get along and behave you owe it to her to train her.
Bear, Anna, Molly, Ossie, and The Countess Lisl von Schlaf