She started with a couple of examples where there is little dispute, instances where the word is not used as a connector with a meaning of "nevertheless" or "but". The times you can use "however" to start a sentence without causing a ruckus is when it means “to whatever extent,” or “no matter how.”
For some reason, the two examples she gave made me pause the recording and write them down.
“However beautiful the strategy, you should occasionally look at the results."
~ Winston Churchill
“However bad you think you’re going to be in that room, not being there is worse.”
~ Dr. Foreman from the TV show House