Fall behind in Venice with Christian perhaps? (9)

I believe the answer is:

evangelic

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'fall behind' is the definition.
The definition suggests an adjective which matches the answer.

I cannot understand how the rest of the clue works.

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(Other definitions for evangelic that I've seen before include "Lucan, eg" , "Based on the Gospels" , "Missionary" , "Old Protestant" , "preaching the gospel" .)

I've seen this clue in The Irish Times.

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