Would you call a guy who comes to fix your sink “Plumber Smith?”
No, but why Doctor Smith? Might it be that doctors are more full of themselves?
I heard someone at a party introduce themselves: “Hi, I’m Doctor Robert Mansard”. A couple of us looked askance at him, then at each other, and tried not to snicker.
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eta: Omar (excuse me, Poster Little), you could compromise with your wife and switch to “Hey, Doc…”