Woman got old socialist baffled (7)
I believe the answer is:
floored
'baffled' is the definition.
(I've seen this before)
'woman got old socialist' is the wordplay.
'woman' becomes 'flo' ().
'got' says to put letters next to each other.
'old' becomes 'o' (abbreviation as in OT - Old Testament).
'socialist' becomes 'red' (red can informally mean a socialist).
'flo'+'o'+'red'='FLOORED'
(Other definitions for floored that I've seen before include "Knocked out" , "stumped" , "Completely baffled" , "Threw" , "Completely confounded" .)