Offence, annoyance (7)
I believe the answer is:
umbrage
<span class="explanation-format__ClueExplanation">I believe this clue is a double definition.<br/ ><br/ >'<span class="explanation-format__original">offence</span>' is the first definition.<br/ ><span class="explanation-format__explanation">(I know that offence can be written as umbrage)</span><br/ ><br/ >'<span class="explanation-format__original">annoyance</span>' is the second definition.<br/ ><span class="explanation-format__explanation">(I've seen this in another clue)</span><br/ ><br/ ></span>
(Other definitions for umbrage that I've seen before include "Take this to show offence" , "Offence that's usually taken" , "In high dudgeon" , "The sulks" , "Offence, annoyance" .)