I just looked back at my son’s files, and the earliest audition invitation he received was Dec 16, and the rest started rolling in from there. That said, he just barely made most of his application deadlines–he wasn’t the on-the-ball early bird your daughter obviously is! 
I’d look at the posted audition dates for each place she applied to and draw up a tentative travel plan from there just so you feel like you’re somewhat in control/doing something while you wait. 
Mine only applied to 4 schools because he very much knew what he wanted (and didn’t want), and if those hadn’t panned out, he’d have gone another route entirely.
Love the advice to keep practicing…with that application/arts app/prescreen load off, she may well show some good progress!