I think we can safely say that is nitpicking, but it’s informative and correct so I’m all for it!
From my biology lessons 20 years ago, I thought I was taught that it was the presence of a second X chromosome that made a person genetically female, but I could definitely be misremembering. Either way, XXY individuals are usually born male, and Dr Genetics Federation was likely talking about sawyer syndrome (or so google tells me). Thanks for the correction!