The most common and most likely answer to this crossword clue is the 10 letter word HEATHENDOM
I've seen this crossword clue in The Guardian
H
E
A
T
H
E
N
D
O
M
Buddy explains!
The straight part
We know that "There’s a certain lack of belief here /There’s a certain lack of belief here" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case there’s a certain lack of belief here /there’s a certain lack of belief here = heathendom.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.