Agent soon left out embracing young lady (8)

I believe the answer is:

emissary

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'agent' is the definition.
(an emissary is an agent or representative)

'soon left out embracing young lady' is the wordplay.
'soon left out' becomes 'eary' (I can't justify this - if you can you should believe this answer much more).
'embracing' indicates putting letters inside.
'young lady' becomes 'miss' (term of address for a young woman).
'eary' placed around 'miss' is 'EMISSARY'.

Can you help me to learn more?

(Other definitions for emissary that I've seen before include "Agent sent on a mission" , "I'm sent!" , "one dispatched officially" , "Agent possibly" , "Person sent to negotiate" .)

I've seen this clue in The Telegraph.

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