This manga was canned after a meager 11 chapter run. Each chapter bounces from 10 to 15 pages. The longest one is 22 pages (the first chapter). Why land emphasis on this, you ask? Because even if it wasn't given the chance to run before it could walk, nothing much is done to lay down the "dangerous" power struggle relationship it promises.
Killing Me reduces the premise to playful lashing between both parties and lame levels of introspection. The story is told almost exclusively through the vampire hunter's eyes, and most of her inner thoughts and reasonings come off as surface level. Little flashes of background we get for both leads don't do much to create a good sense of their personalities. All of this plays into a lack of truly standout moments. While you can blaze through it in an afternoon, it lingers akin to a mediocre gum which loses its flavor after 30 minutes.
Cute art and characters. Reasonably tolerable, but not much there.