You accuse Luke based on one probably poorly translated verse?
Not much basis there.
Asking you for chapter and verse to support your claim that Luke was no longer a doctor is me accusing Luke??
Paul says, "Luke the beloved doctor", not anything remotely like, "Luke the beloved ex-doctor."
He doesn't even say merely, "Luke the doctor" mentioning his profession as a means of identifying him, but he says, "Luke the beloved doctor", which I take as expressing his appreciation for Luke as a physician; a medical doctor. He is saying that he loved and highly esteemed Luke as a physician.
Find a better translation if you like. I believe I am taking the words in their ordinary, normal sense, and the forgoing is their plain meaning. If you have a more reasonable explanation for these words of Scripture I would like to see it.
Again, do you have any Scripture to support your claim that Luke was no longer a doctor?
Cordially,