I think just removing the enemy's ability to inflict confusion would make it okay. It would still be a difficult fight, especially with Janet's best defensive option and most consistent offense option (blind and poison) being unavailable, but it would at least be possible.
I would say that any time a fight is solo, CC effects probably shouldn't be inflicted on the player character because without teammates there's no counterplay. You either are lucky and don't get CCd or you are unlucky and probably die. With teammates you can heal or status cleanse the CCd character as a counterplay, but that's not present in solo fights.