City that sent missionaries out to China (7)

I believe the answer is:

antioch

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'city that sent missionaries' is the definition.
'antioch' can be an answer for 'city' (I have seen 'ancient city' mean 'antioch' so perhaps 'city' could also mean 'antioch'). I am unsure of the remainder of the definition.

'out to china' is the wordplay.
'out' indicates an anagram.
'to'+'china'='tochina'
'tochina' is an anagram of 'ANTIOCH'.

Can you help me to learn more?

(Other definitions for antioch that I've seen before include "Ancient Syria capital" , "Place for early Christians" , "Ancient name for Antakya in Turkey" , "Early centre of Christianity" , "Ancient city now Antakya" .)

I've seen this clue in The Globe and Mail.

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