The most common and most likely answer to this crossword clue is the 10 letter word CONFESSION
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Buddy explains!
The straight part
We know that "(something that) may be given to priest" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case (something that) may be given to priest = confession.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 CONFESSION mean?
CONFESSION noun- The open admittance of having done something (especially something bad).
- A formal document providing such an admission.
- The disclosure of one's sins to a priest for absolution. In the Roman Catholic Church, it is now termed the sacrament of reconciliation.
- Acknowledgment of belief; profession of one's faith.
- A formula in which the articles of faith are comprised; a creed to be assented to or signed, as a preliminary to admission to membership of a church; a confession of faith.