Permit woman, as ordered (4)
I believe the answer is:
visa
'permit' is the definition.
(I know that O.K. is a is a more specific form of the action of visa)
'woman as ordered' is the wordplay.
'woman' becomes 'Vi' (short for Violet).
'ordered' indicates anagramming the letters.
'as' is an anagram of 'sa'.
'vi'+'sa'='VISA'
(Other definitions for visa that I've seen before include "It allows the bearer to enter the country issuing it" , "ID" , "Passport stamp or well-known credit card" , "Travel permit stamped in passport etc" , "Travel stamp in passport" .)