Her wide-eyed manner, equal parts sexiness and sincerity, could be said to be faux-naïf. But know that there’s nothing cynical about the faux part; it’s a style choice that lets Ms. Scott perform with the sophistication that a New York audience (or rather an audience of New Yorkers) demands. And there’s no denying that when she sings, from a wildly diverse song list, she’s as polished and inventive as the worldliest cabaret artist. Having spent many nights on Broadway stages, she has no difficulty scaling up cabaret intimacy for a house as large as the American Airlines Theater; Ms. Scott naturally translates life size into bigger than life.