If he really wanted her to draw her sword again, he succeeded. While she was at first distracted by attacking his clone, a sound (or a shift in the air, she didn't dwell on it long enough to say) alerted her to his presence behind her, just soon enough for her to react.

She spun in place, swaying back only as much as necessary, and brought up her sword to block the kunai strike, rather than attempt to weave another jutsu in time. It was probably for the best he came at her from behind, rather than above or below though. Even at his necessary closeness, the time it took for her to turn and deflect his attack allowed her to remember to look down, at his chest rather than his bespectacled eyes. She'd like to think she had a chance of resisting the sharingan even if she made eye contact...but standing on a tree branch staring down a kunai was not the time for a practical test of that.