Farmer fled, caught by some woman (7)
I believe the answer is:
rancher
'farmer' is the definition.
(I know that rancher is a type of breeder)
'fled caught by some woman' is the wordplay.
'fled' becomes 'ran' (ran away).
'caught' becomes 'c' (cricket abbreviation).
'by' says to put letters next to each other.
'some woman' becomes 'her' (her refers to a woman).
'ran'+'c'+'her'='RANCHER'
(Other definitions for rancher that I've seen before include "Cattle baron" , "A cowboy" , "North American cattle farmer" , "Cattle farmer in the Americas" , "Hacienda owner" .)