One bird of a few by the new cote (6)
I believe the answer is:
avocet
'one bird' is the definition.
(avocet is a kind of bird)
'a few by the new cote' is the wordplay.
'few' becomes 'v'.
'by' means one lot of letters go next to another.
'the new' indicates an anagram.
'cote' with letters rearranged gives 'ocet'.
'a'+'v'+'ocet'='AVOCET'
'of' is the link.
(Other definitions for avocet that I've seen before include "Wading bird with curved bill" , "Long-legged wader" , "Wading bird with upturned bill" , "Black-and-white shorebird with upward-curving bill" , "RSPB emblem" .)