Royce,
Here's how I would have handled it...
Polite was not the right way to handle that. If she was so arrogant as you stated and insisted that you come down to fix her shaft, I would have replied with: I'll be right there but because it's Sunday and we're closed you'll have to clean and polish my shaft while you're waiting. I would have listened carefully as she would have gotten the message and hung up. And if she didn't get it, I would have hung up because this is one dumb broard (do we still use that word today?).
While you did handle it well, I would have handled it my way because I don't want anyone that ignorant as a customer which will in all probability be someone's worst nightmare. You'll be married to her if you fix her shaft. Anything goes wrong with it, she'll be back on a Sunday morning again or worse yet at 3am because it will be an "emergency". LOL
I nominate Joe for Whitehouse Press Secretary..