The most common and most likely answer to this crossword clue is the 9 letter word NON-WHITE
I've seen this crossword clue in The Guardian
N
O
N
-
W
H
I
T
E
More clues leading to the result NON-WHITE
Buddy explains!

The straight part
We know that "any colour" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case any colour = non-white.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 NON-WHITE mean?
NON-WHITE noun- A person who is not white.
- Not white in color.
- Not belonging to the white race.
- Not associated with white people.