The most common and most likely answer to this crossword clue is the 11 letter word PINK-COLLAR
I've seen this crossword clue in The Times
P
I
N
K
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C
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L
L
A
R
More clues leading to the result PINK-COLLAR
Buddy explains!

The straight part
We know that "traditionally undertaken by women" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case traditionally undertaken by women = pink-collar.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 PINK-COLLAR mean?
PINK-COLLAR adjective- Of or pertaining to employees in predominantly female service industries.