Baseball player, parking it, caught that woman (7)
I believe the answer is:
pitcher
'baseball player' is the definition.
(I know that pitcher is a type of baseball player)
'parking it caught that woman' is the wordplay.
'parking' becomes 'p' (abbreviation on road signs).
'caught' becomes 'c' (cricket abbreviation).
'that woman' becomes 'her' (her refers to a woman).
'p'+'it'+'c'+'her'='PITCHER'
(Other definitions for pitcher that I've seen before include "Baseball bowler and large jug" , "Baseball player - bowl" , "Vessel with a handle and spout" , "Does one throw the vessel?" , "Earthenware jug" .)