Yeah, Babette has to skip one whole season to have her Arts opened traditionally by Elizabeth.
She gets 66 xp, to be spent as I outlined. She has to have Latin 4, at least and Artes Liberales 1, Philosophiae and then the other 6 xp as you desire.
She can take 2 exposure XP in Intellego, Vim or Magic Theory for that season. Also pick the Hermetic Flaw that manifests here, and don't forget it counts as an Ordeal when learning a virtue from one of the teachers.