Spock raised an eyebrow. It hadn't occurred to him to ask permission. Not because he did not respect the Captain or the authority his rank afforded him, but because she was a member of the crew. Though she did not, as far as he was aware, have Bridge clearance on the Enterprise, it would be illogical to deny her access to the Bridge in Taxon. It was one of the few areas of the ship that they currently had.

Or perhaps she was attempting to inquire as to whether he needed permission to leave the ship?

"It is located in Speares, a district in the northern sector of the city."