The most common and most likely answer to this crossword clue is the 9 letter word DESERVING
I've seen this crossword clue in The Guardian
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More clues leading to the result DESERVING
Buddy explains!

The straight part
We know that "Worthy" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case worthy = deserving.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does DESERVING mean?
DESERVING verb- To be entitled to, as a result of past actions; to be worthy to have.
- To earn, win.
- To reward, to give in return for service.
- To serve; to treat; to benefit.
- Desert, merit
- Worthy of reward or praise; meritorious
- Meriting, worthy (reward, punishment etc.)