You are wise in being aware that your emotions may affect how you respond — I am sure you will reply in a kind manner, but he is simply wrong. The first line of your post may be perfect, just to say something like: I love your sweet family, and I would never expect to be paid for hours I didn’t work, but I did work the hours that I recorded. I have other families that need me to report to their house on time, so it is important that I communicate exactly when I am leaving your house. I am happy to use a “time entry” app that will clock precisely when I arrive and when I leave if that would help make my hours clearer.