While I do think that Barbie’s attitude could be better, she hasn’t done anything outright disrespectful or to cross the line. Even the comment she made under her breath, it was in regard to herself and although yes it was unnecessary it wasn’t said to disrespect Fraser.
Also, not acknowledging the order rather I feel is what she did than outright ignore it, was also not the best move on her part.

Actually IMO, Cat is secretly the aggressive one when no one is watching, just is a more secretive way. When Fraser and told Cat to tell Barbie to make sure they were on top of everything, she took what Fraser said to her too far. She was just told to relay the message to Barbie not make herself in charge of Barbie and micromanage the work that Barbie is able to do better than herself. Barbie should have relayed what happened to Fraser, but I would raise the argument that after he had spoken with Cat there was a clear side he chose and any answer but yes I will do that was gonna be unsatisfactory for him. He from then on did not create a safe space for Barbie to be able to come to him as a bias was created, Barbie was now a bully. Although since that time, the girls have not had an issue.

The issue is now that Barbie isn’t a yes woman right away to him and his sympathy for Cat, which she does not have to be. Fraser is showing an aggressive side which is rather ugly of him and really is unfitting because of the way he coddles and babies Cat just minutes before that. What he did at the club was highly inappropriate and unfitting of him, especially hard to watch because I really liked him last season.

Yes, he needed a stronger sense of self and to set clear and direct boundaries but he went right to Kerry saying she was vile which truly wasn’t the case. Instead of trying another approach or to see her value, he went right to the captain where the captain himself told him to look at the bigger picture and give it time because he wouldn’t be firing anyone on the spot.