Faye had a seriously dangerous job to do. She was already standing on the edge of the cliff by being out of the Muse Residence as a new Muse whose powers haven't been fully explored much less passed on to anyone yet. Faye was agitated by the mere thought of the Muses thinking of themselves as so gentle insomuch so that they wouldn't dare fight beside their own people unless it's an enormous battle. She wanted to fight and she was determined to fight. She thought back to all the times she tried to fight, and all the time she couldn't because she didn't know what to do.
The truth of it all at the end of the day was that she always wanted to be a part of her people. Even though she didn't like the idea of her being above everyone else, she was primarily glad that she knew what she was about now and that she could just do something to help.