Is she a hyphenated one?
Not hyphenated. She does not use “Schlossberg” at all in her name.
She does not hyphenate the names of her children, either. Their last name is Schlossberg, but all 3 have Kennedy as a middle name: Rose Kennedy Schlossberg, Tatiana Celia Kennedy Schlossberg, and John “Jack” Bouvier Kennedy Schlossberg.