noun, な adjective
A street rather than a not-street. That's what I'm offering you to walk on. It's much nicer this way. I am being polite and courteous by offering you this street.
The reading for 丁 is an unexpected one. It's てい instead of ちょう, so think about how the street is lined with tater (てい) tots, and how you can eat from them as you walk along on your trek. How polite of someone to leave them there for you!
Even though she is a celebrity, she politely answered my questions and I was really impressed.