Did not use an authenticator specifically for this sort of event. I did not want to give Blizzard my number unless it was necessary. The likelihood that I would be compromised by visiting a shady website is lower than the chance that Blizzard is compromised successfully or the chance that someone randomly guessed my password. In this case, my password is unique, but not strong enough.

I was sitting online and someone tried to log into my account, and my authenticator didn't notify me. Session ended and I got kicked off.

Rothinzil#1166