Considering that they need to lose either this or the solo battle to allow Tanya to fight the leader duel, I would prefer they win this and have Laplace throw the next fight. It would be a downer to have Nadine lose just as she declared she'll give her all in the fight. She killed Arisa's parents for her job, but she's also regretting and atoning for it by acting as her guardian. The least she could do is protect the girl's smile by winning.
Also, I cannot take her "assassin" outfit seriously. Nothing screams female assassin like a vulgar "outfit" made of a bunch of belts amirite The sexism has become far too ingrained in the system, and I feel like it's Maxwell behind it all.