He can find a private place nearby, yes.
"Not reliably private," is the first thing he says there, "so we should still speak in circumlocutions, but, you're not hiding information perfectly, and Carnidine's court is less stupid than most, and more capable of noticing more things about you, if you radiate hints."
"A 'High' noble is one that has other nobles of equal rank pledging to them. They wouldn't call Carnidine a High Duchess the moment that you bowed to her, but it would be an attention-grabbing implication, greatly increase her status, and somewhat lower yours."