FYI, Saotome Sensei knows you're not Japanese and doesn't expect you to try to be something you are not. He's lived in the USA for 30 years, has been a citizen since, I believe, the 1980s. He very often responds to bows with an outstretched hand, and I don't believe he is trying to say "you can't bow right" or anything like that.
Thanks because that is somewhat of a relief. I suppose he's really good at seeing the whole picture, including the fact that I do not look Japanese at all. Also, he doesn't seem the type to make mountains out of molehills. I appreciate your words, Cliff.