你先别着急 I think that this kind of 先 doesn't really mean "first". Maybe the meaning is closer to "now", so the sentence means : "Don't worry now" or we would just say "Stop worrying". … Especially in 我先走了 which is often used when there is no "first" (or "later"). So the meaning should be : "I'll be on my way now".
你先别着急
I think that this kind of 先 doesn't really mean "first".
Maybe the meaning is closer to "now", so the sentence means :
"Don't worry now" or we would just say "Stop worrying".
…
Especially in 我先走了 which is often used when there is no "first" (or "later").
So the meaning should be : "I'll be on my way now".
先with a negative word “不”,“别”,etc. it means, for the time being; for the moment