The most common and most likely answer to this crossword clue is the 10 letter word BREATHLESS
I've seen this crossword clue in Financial Times
B
R
E
A
T
H
L
E
S
S
More clues leading to the result BREATHLESS
Buddy explains!

The straight part
We know that "short- winded" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case short- winded = breathless.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 BREATHLESS mean?
BREATHLESS adjective- Having difficulty breathing; gasping.
- That makes one hold one's breath (with excitement etc.).
- Not breathing; dead or apparently so.
- Having no wind; still, calm or airless.
- Having a somewhat hysterical tone, using over-emotive language.