White Oni:
He didn't expect this. Honestly, no one could have, since she never pulled out an ability like this before. He gets sent flying back from the sudden activation of the jutsu and hits a wall. He quickly recovers, grunting.
"Hmph! A fluke, nothing more."
She activated one bloodline then another. He needed to be careful, that attack might've messed with the aura of menace was trying to project, but at the same time she'll be wary of her defenses being able to be compromised at any time, which might mess with his true goal: her own intelligence might make her give up early, which is the last thing he wants- he might've screwed up with breaking her defenses so early. Was it possible that the more pressure he applied, the more her powers would awaken? Or had she always known to do this since the mission? He couldn't tell. What she was....didn't have precedent. There was no established tactical doctrine for dealing with what she was, and no telling what she would pull out next. He activates his Byakugan underneath his mask, observing her chakra, maybe he could observe her chakra, see what is going, figure what exactly she is doing underneath the skin. But at the same time he can't just go easy on her, he has to commit to the role. He needs to see how she will react to a foe like this, against a being that threatens all life. He has to salvage this. She cares not for her own life, but what of others?
"I will show you that you cannot protect anyone."
He sees a fleeing civilian, and with a hand sign creates a water whip from nothing extending from his left palm to try and grab the civilian, raising his bokken to potentially bring it down on them- but slow enough that Senko could react.

Kimiko:
The shuriken fly away, blowing up away from him- but while he is looking to the side to do so, she uses chakra to extend her paper blade and stab at him while he is focusing on his wind jutsu.