The most common and most likely answer to this crossword clue is the 10 letter word INCOMMODED
I've seen this crossword clue in Independent
I
N
C
O
M
M
O
D
E
D
Buddy explains!
The straight part
We know that "given a difficult time" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case given a difficult time = incommoded.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 INCOMMODED mean?
INCOMMODED verb- To disturb, to discomfort, to hinder.