Bird of prey foreign cleaner disturbed after parking (9,6)
I believe the answer is:
peregrine falcon
'bird of prey' is the definition.
(peregrine falcon is a kind of bird of prey)
'foreign cleaner disturbed after parking' is the wordplay.
'disturbed' indicates anagramming the letters (the order of letters is disturbed).
'after' means one lot of letters go next to another.
'parking' becomes 'p' (abbreviation on road signs).
'foreign'+'cleaner'='foreigncleaner'
'foreigncleaner' is an anagram of 'eregrinefalcon'.
'eregrinefalcon' after 'p' is 'PEREGRINE FALCON'.
(Other definitions for peregrine falcon that I've seen before include "up in the air?" , "bird?" , "She kills small creatures" .)