Good point GG13
I was brought up to believe it was polite to show an interest in people, usually asking politely about themselves (fair enough, not interrogate them) and see this as a sadly clumsy and awkward version of what is generally called “taking an interest”.
Lady Hussey was born an aristocrat and has spent the last 60 years in the rarefied time warp of the Royal Household. It is not surprising if she is out of touch with modern attitudes, especially among the young. You might argue that she should be but I also see this as a communication failure on both sides. While I think SH was clumsy and at best forthright, not to say rude I also think it is overegging the pudding to cry “violation”
Tolerance works both ways.
I am also guessing, but the language used by the urban young can sometimes go over one’s head- some of the black kids I taught in a large comprehensive spoke a sort of “street” language, almost a patois, which takes a bit of getting used to. “Sistah”, “bro”, or “wicked” for instance, the “hood” (= neighbourhood) are almost a foreign language to ladies of her background of a certain age, the debs and “aristocratic gels” of her generation.