Turk, outrageous female removing top (7)
I believe the answer is:
ottoman
'turk' is the definition.
(the Ottoman Empire became Turkey)
'outrageous female removing top' is the wordplay.
'outrageous' becomes 'OTT' (short for over the top).
'female' becomes 'woman' (woman is a kind of female).
'removing top' means to remove the first letter (I've seen 'removes top' mean this).
'woman' with its initial letter taken away is 'oman'.
'ott'+'oman'='OTTOMAN'
(Other definitions for ottoman that I've seen before include "Armless, padded seat" , "Type of seat; Turkish" , "Description of empire" , "Turkish empire of over 600 years" , "Old empire - sofa" .)