She's not from New Orleans. Just about every parish outside of new Orleans talk like that. Her accent wasn't even that heavy compared to older people from places like boutte, grand isle, bayou lafourche and all those other southern bayou citiesWow, that woman in the OP sounds NOTHING like I expected. But then again I never met anyone white from N.O. I would think she's from Boston or something.
It annoys me to this day that I can't find it but some guy did the thickest cajun/bayou accent on Crank Yankers when I was a teenager... You literally couldn't understand a word. It was a hilarious I've never been able to find it though