You now wonder how to address the pillow situation. It seems the woman has you at a clear disadvantage.
Perhaps slipping a fresh doily under the pillow will do the trick? Or maybe spilling a bit of WORCESTERSHIRE SAUCE on it, and then having it dry-cleaned and returned along with a laboriously ingratiating apology note? No, there's no time for anything like that. Or maybe (just thinking out loud here) you could use the entire pack of W's as M's? Oh yes, that would burn.
But you've already done something with that W pack, and there's no need to go back and gild that lily. This is delicate business. And that pillow is screaming for rebuttal.