Admitting India, ASEAN upset Chinese (7)

I believe the answer is:

sinaean

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'chinese' is the definition.
(I've seen this in another clue)

'admitting india asean upset' is the wordplay.
'admitting' indicates putting letters inside.
'india' becomes 'in' (I can't explain this - if you can you should believe this answer much more).
'upset' indicates anagramming the letters.
'asean' is an anagram of 'saean'.
'in' inserted within 'saean' is 'SINAEAN'.

Can you help me to learn more?

I've seen this clue in The Hindu.

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