The most common and most likely answer to this crossword clue is the 10 letter word CARROT-TOP
I've seen this crossword clue in The Times
C
A
R
R
O
T
-
T
O
P
More clues leading to the result CARROT-TOP
Buddy explains!
The straight part
We know that "redhead" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case redhead = carrot-top.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.