While having a conversation with an HR about a job location, I constructed the next sentence
Yes, I'd like to relocate to the UK. The city doesn't really matter.
which is bugging me now.
Why did I use the definite article there?
The city I am going to move to doesn't matter.
I thought, from the context, it was easy to figure out what the city I was referring to.
On the other hand, the place I will be relocated to isn't known yet for both me and the listener. For instance, it could be London, or it could be any other city in the country.
A city doesn't matter.
Would I have been correct if I had said that?
Which one is correct?
What would you say?