Bird embarrassed dog (7)

I believe the answer is:

redtail

'bird' is the definition.
(redtail is a kind of bird)

'embarrassed dog' is the wordplay.
'embarrassed' becomes 'red' (I've seen this before).
'dog' becomes 'tail' (synonyms).
'red'+'tail'='REDTAIL'

I've seen this clue in The Hindu.

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