Cryptic crossword clue
Challenge authority about first of directives that’s cosmetic 4,6

The most common and most likely answer to this crossword clue is the 4 plus 6 letter word FACE POWDER

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Buddy explains!

The straight part
We know that "cosmetic" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cosmetic = face powder.
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.

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