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Psychopathy is characterised by persistent antisocial behaviour, impaired empathy and remorse. (source: Wikipedia) Your character needs to care for others. Watching a person get hurt, let alone k...
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#4: Attribution notice removed
Source: https://writers.stackexchange.com/a/47713 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#3: Attribution notice added
Source: https://writers.stackexchange.com/a/47713 License name: CC BY-SA 3.0 License URL: https://creativecommons.org/licenses/by-sa/3.0/
#2: Initial revision
Psychopathy is characterised by persistent antisocial behaviour, impaired empathy and remorse. (source: [Wikipedia](https://en.wikipedia.org/wiki/Psychopathy)) **Your character needs to care for others.** Watching a person get hurt, let alone killed, isn't easy. It should never become easy. That's something your character would respond to. _That_ is what distinguishes them from a psychopath. Now, how does your character respond? That's an interesting question. They can rewind time, sure. But can they protect _everyone_ from harm, always? Do they accept some casualties? How do they decide when to keep on trying for a better result, and when this is as good as it gets? Moral quandaries of this kind are interesting. Concern for others is a positive trait, it makes the reader see the character in a favourable light. Your character doesn't fear their own death - that's hardly a new thing in literature. Look for example at Athos from _The Three Musketeers_. In his case it's depression rather than an actual ability not to get killed, but the end result is the same: he takes extraordinary risks without batting an eyelash. He's all but trying to get himself killed. At the same time he is a well-loved character - because he is principled, noble in his actions, and a true friend. That is, he is a good person in relation to others, even if he is not very good to himself. Which seems similar enough to what you're trying to describe.