The most common and most likely answer to this crossword clue is the 6 plus 8 letter word RUDELY (STEELY)
I've seen this crossword clue in The Guardian
R
U
D
E
L
Y
(
S
T
E
E
L
Y
)
Buddy explains!
The straight part
We know that "Suddenly" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case suddenly = rudely (steely).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.