The most common and most likely answer to this crossword clue is the 7 letter word FORLORN
I've seen this crossword clue in The Daily Telegraph
F
O
R
L
O
R
N
Buddy explains!

The straight part
We know that "without hope" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case without hope = forlorn.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 FORLORN mean?
FORLORN verb- To abandon, forsake.
- A forlorn hope.
- A member of a forlorn hope.
- Abandoned, deserted, left behind.
- Miserable, as when lonely after being abandoned.
- Unlikely to succeed; hopeless.