It's not easy even just looking at you, Jack,
because you're wrong.
You are. I can't help it.
I'm a Time Lord. It's instinct. It's in my guts.
You're a fixed point in time and space. You're a fact.
That's never meant to happen.
Even the Tardis reacted against you, tried to shake you off.
Flew all the way to the end of the universe just to get rid of you.
So what you're saying is that you're, er, prejudiced?
I never thought of it like that.
Shame on you.
'DOCTOR WHO' - "UTOPIA"
This would serve as a good splainin as to why the Doctor won't ever be seen interacting with Dr. Henry Morgan in 'Forever'. The Doctor has shown up in New York City several times over the decades, but the TARDIS knows to deliberately avoid Dr. Morgan.
And John Amsterdam of 'New Amsterdam' as well, for that matter. I doubt we'll ever see the head-chopping immortals from 'Highlander' in a 'Doctor Who' episode either. Of course, both of those shows are long gone, so it would be fair game to force such encounters upon the Doctor in fanfic if that's your sort of thing.
Methos with the TARDIS
Personally, I think Amsterdam fulfilled the True Love mandate to end his "curse" and has since died, if only to splain away why we don't see John in other NYC-based TV shows, especially 'Law & Order: Special Victims Unit' and any other NY cop shows.