Lima abroad perturbed to accept fool like His Excellency (13)

I believe the answer is:

ambassadorial

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'his excellency' is the definition.
The answer and definition are not the same part of speech.

'lima abroad perturbed to accept fool' is the wordplay.
'perturbed' indicates an anagram.
'to accept' means one lot of letters goes inside another.
'fool' becomes 'ass' (both can mean a stupid person).
'lima'+'abroad'='limaabroad'
'limaabroad' anagrammed gives 'ambadorial'.
'ambadorial' placed around 'ass' is 'AMBASSADORIAL'.

'like' acts as a link.

Can you help me to learn more?

(Other definitions for ambassadorial that I've seen before include "Relating to a country's representative abroad" , "suitable for diplomats" , "Relating to the highest diplomatic duties" .)

I've seen this clue in The Times.

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