The most common and most likely answer to this crossword clue is the 8 letter word PAGANISE
I've seen this crossword clue in The Daily Telegraph
P
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Buddy explains!

The straight part
We know that "convert" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case convert = paganise.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 PAGANISE mean?
PAGANISE verb- To convert (someone) to paganism.
- To behave like a pagan.