You’re right, she’s completely used to all the social and political skills of her past life, but none of that applies to the social norms in this one.It's amusing that you can kinda see the difference level of 'smarts' she show that corelate to her past life.
When it come to more underworld-related stuff (like him hiding her by his positioning) she's quite quick on the uptake.
But the social implications on her actions (calling him by first name in public, nearly directly touching his face) she's oblivious to it.