"Taming of the Shrew" role (4)
I believe the answer is:
<span class="explanation-format__ClueExplanation">'<span class="explanation-format__original">taming of the shrew role</span>' is the definition.<br/ ><span class="explanation-format__explanation">(I've seen this in another clue)</span><br/ ><br/ >This is the entire clue.<br/ ></span>
(Other definitions for kate that I've seen before include "Katherine (dim.)" , "'Kiss me, ---' (Shrew)" , "'Kiss me ___' (show)" , "Cole Porter musical 'Kiss Me ....'" .)