European condition found in that woman's cows, ... (7)
I believe the answer is:
heifers
'cows' is the definition.
(heifer is a kind of cow)
'european condition found in that woman's' is the wordplay.
'european' becomes 'E' (abbreviation e.g. EU).
'condition' becomes 'if' (as in 'a big if').
'found in' means one lot of letters goes inside another.
'that woman's' becomes 'hers' ('her' refers to a woman).
'e'+'if'='eif'
'eif' placed into 'hers' is 'HEIFERS'.
(Other definitions for heifers that I've seen before include "Young cows" , "farm stock" .)