Criminal needing medical assistance in city, avoiding NY somehow (7)
I believe the answer is:
illicit
'criminal' is the definition.
(I've seen this before)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for illicit that I've seen before include "Contraband" , "Without approval" , "Not approved by law" , "illegitimate" , "completely banned" .)