She won't be out trying to rescue anyone in particular, admittedly... If she sees him fighting a Pleroma, she is more likely to be like "fine cool this one is distracted I'm going to distract a different one". Though if they're obviously about to get creamed then she might take advantage of the moment to engage which would incidentally count as a rescue...

So I'm up for either! If the other people you're PVPing want a rescue, Hayame could do it... as long as they are fine with her insulting their character when she does it fkenwflkfew