  His Half sister is a valient woman, beloved by the common folk and a legitimized bastard of King Vicerys

He loves her despite his insults and rains of little jokes about you, no one needs to know that.  She took him to fly in her dragon, Vermithor when he was a child, It was his first flight. The one-eyed never forgot this kindness 

And prince Aemond will not bear insults towards her or even - that the seven forbidde - someone laying a finger on her.
No he will  kill anyone for you. 