There's a weak struggle as Yuffie lifts her, Kyoko had not given up - she just could not go on fighting.

"Wh..."

She could not understand why the girl was not killing her, but her eyes were barley open. With the soul eater attacks having drained more than half her life force, the young fighter is in much worse shape than even the daggers alone wrought having unintentionally injured herself in the battle. Between the blood loss and life drain, she loses consciousness long before reaching the hospital.