The most common and most likely answer to this crossword clue is the 10 letter word DISHEARTEN
I've seen this crossword clue in The Daily Telegraph
D
I
S
H
E
A
R
T
E
N
More clues leading to the result DISHEARTEN
- Bring down the sardine to cook
- Demoralise inspector — try to load gun
- Deprive of spirits, but find way to make better beer?
- Cast down to hell? Try to get close to Styx!
- Crush pepper finally in food consumed
- Crush bowl made of clay
- Put a damper on Danes and their cooking
- Depress a resident being moved around hospital
- Depress detectives and try and catch up
- Dismay is hidden by adherent being put out
Buddy explains!

The straight part
We know that "Depress" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case depress = dishearten.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 DISHEARTEN mean?
DISHEARTEN verb- To discourage someone by removing their enthusiasm or courage.