Bird, parrot's first sweetheart (6)
I believe the answer is:
plover
'bird' is the definition.
(plover is a kind of bird)
'parrot's first sweetheart' is the wordplay.
'first' indicates taking the first letters.
'sweetheart' becomes 'lover' (I've seen this before).
The first letter of 'parrots' is 'p'.
'p'+'lover'='PLOVER'
(Other definitions for plover that I've seen before include "Lapwing-like bird" , "Short-billed shore bird" , "Wader" , "Shore bird with long pointed wings" , "No Stranger on the Shore" .)