Strangely odd old bird
I believe the answer is:
dodo
'bird' is the definition.
(dodo is a kind of bird)
'strangely odd old' is the wordplay.
'strangely' indicates an anagram.
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'odd' is an anagram of 'dod'.
'dod'+'o'='DODO'
(Other definitions for dodo that I've seen before include "Large extinct bird" , "Square" , "one very dead!" , "Old bird" , "Proverbially dead bird" .)