Long ago and in another life, my boss was rude to my mother, in my own home. I was furious and told my boss to apologise and get out. Even though my work could not be faulted, when I turned up for work the next day, I was fired. I sued for unfair dismissal plus damages, and won. The judge agreed with me that an employer is only an employer during the actual hours the employee is being paid. Anything outside those hours, is that person's own time and I was free and justified in telling my boss to get lost.
So, Amaury is free to do what he likes during his down time. Fanny is out of line in ruling otherwise. Besides that, she needs Amaury. I think Dan is a waste of space, but Fanny doesn't get to dictate what happens in his life, nor does she get to decide what Amaury does in his own time. She may gently remind him of his loyalties, but he's in a position of power in the shiteau, even if he doesn't realise it. She needs Amaury more than he needs her. He holds all the cards and could easily, despite having a roof over his head, eating at the communal trough and despite being family, tell Fanny to get lost.
I encourage him to do just that.