Arwen wants to go with Quinn to see the Duchess.  Whether or not she can convince Quinn of this has yet to be seen though.  She just wants to be seen by the Duchess while Quinn does their thing, as well as protect them if there is something going on politically at the freehold.  Whoever killed the countess ordered a very powerful weapon, which means they had not only something to pay for it, but the political clout to get a hold of a recluse.  However, she is keeping these suspicions to herself right now.  More cautious and watching than wanting to do any direct action.