I was a bit surprised at first to see Annily there because of Alizée's desire to keep her private life private. But I think the point is that Alizée reserves the right to decide if and when Annily will be seen by the public. Some paparazzi or over zealous fan who pilfered her private photos does not have that right. Anyways, I'm sure Alizée thought it would be fun for Annily and she probably wanted to do it. I would think it would be a cool experience for Annily to be on stage with her mom.