You're not running late. ¿

никуда, пишется вместе, однако.

you are not late anywhere )

I don't understand why they're using никуда here. Is it just to reinforce the assurance that they're not running late in any way?

Exactly!

Aha!

BOB: Honey, have you seen my green tie?? I’m running late to my meeting and I can’t find it anywhere!
WIFE: I think I saw it draped over your chair in the office.
BOB: I looked there!! Come on, I’m frantic! I can’t be late to this meeting!!!
WIFE: You’re not late to anything! The clocks went back this morning - you have plenty of time.

You're not late to anything! 🙏👍