Conciliate (7)
<span class="explanation-format__ClueExplanation">'<span class="explanation-format__original">conciliate</span>' is the definition.<br/ ><span class="explanation-format__explanation">(appeasing is a kind of conciliating)</span><br/ ><br/ >This is the entire clue.<br/ ></span>
(Other definitions for appease that I've seen before include "Placate (someone) with concessions" , "Calm, pacify, placate" , "Conciliate" , "Placate (someone) by giving in" , "To behave like Chamberlain" .)
(Other definitions for win over that I've seen before include "Bring round (to idea)" , "Gain the support of" , "Persuade" .)