Any Tav, regardless of their race, is Baldurian. Which is probably supposed to assume that the aforementioned trust has already been earned. Story-wise, we are not entering a new city for the first time in our life; we are coming home.

P.S. I've never played a Drow, so don't know that, but a good indicator of city's reaction should be how that Duke's counsellor and Flaming Fist soldiers react to Tav being a Drow during the event at Waukeen's Rest. Whatever they say and do should be pretty much in line with the rest of the city.