For the record, I did not invite her. She asked if she could come and I said sure or maybe okay.
And while in print, she could have taken "I have a covertible" to mean I was trying to impress her, live in person, it was much less likely. I didn't say it with pride or enthusiasm or energy or any such intonation in my voice, but seriously, in a monotone, immediately after saying she could come. almost without a pause between "sure" and "I". It was part of the terms she was agreeing to, as I saw it.
I do regret that I wasn't more clear.
What we had was I think "no meeting of the minds." I agreed to one thing and she agreed to another, perhaps because she stopped paying attention afer I said "sure".