Avenged Murderer / Killer / Slasher
Avenged Killers usually have a category of who they do and don't kill, and have clear exceptions to their murderous tendencies. These killers usually have a moral, emotional and/or specific reasoning behind their killings and aren't blinded like Bloodthirsty Killers are.
Avenged Killers may show a behavior of being highly protective of their exceptioned victims, and may even try to hide them, especially around fellow killers. These killers are usually more methodical when it comes to their killings. Exceptioned victims can be Survivors, Skeptics and/or Killers. They as well don't have to be anyone particularly special to the Avenged Killer, it could simply be because they're of interest, nothing more.