And this is also a logical fallacy, known as the appeal to fallacy You have to actually demonstrate that someone is in error, you cannot assert that because they used a fallacy they are ipso facto in error.
Not to mention that you have appeal to authority wrong, anyway. It's not a blanket condemnation of expertise, simply an acknowledgment that authority CAN be wrong, not that it IS wrong. Expertise should always be valued and considered, particularly by those who lack expertise in a subject.
Edit: I should note that your second paragraph, regarding handwashing, is also a fallacy ... Argument from Anecdote. It's not in error, per se, but it doesn't apply to the argument that NineSpine was talking about, specifically, and so is irrelevant.