So... yeah. I'm being told "I'm completely wrong," because I got a small irrelevant detail of mostly wording wrong while being correct on the main ideas.
You could have just acknowledged the mistake or moved on and it wouldn't have been a problem. Instead, you decided to be kind of smug and shift the focus of the discussion to another issue no one was debating with you. Plus, you questioned her sources and where she got her information, and then when she gave you her credentials (in addition to a link) you criticized her for listing her background like she was bragging when you were the one who asked.