The most common and most likely answer to this crossword clue is the 11 letter word SACRAMENTAL
I've seen this crossword clue in The Times
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More clues leading to the result SACRAMENTAL
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The straight part
We know that "about religious rite" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case about religious rite = sacramental.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.
Crossword Answer definitions
SACRAMENTAL noun- An object (such as holy water or a crucifix) or an action (such as making the sign of the cross) which is regarded as encouraging devotion and thus spiritually aiding the person who uses it.
- Used in, or relating to, a sacrament.