The most common and most likely answer to this crossword clue is the 7 letter word JUDAISM
J
U
D
A
I
S
M
More clues leading to the result JUDAISM
Buddy explains!
The straight part
We know that "name of religion" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case name of religion = judaism.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.