Even though the elephant seems relatively peaceful when Orwell finds it, he decides to shoot it because he is angry about the killing of the coolie. (shooting an elephant)

This statement is false.

It was perfectly clear to me what I ought to do. I ought to walk up to within, say, twenty-five yards of the elephant and test his behavior. If he charged, I could shoot; if he took no notice of me, it would be safe to leave him until the mahout came back. But also I knew that I was going to do no such thing. I was a poor shot with a rifle and the ground was soft mud into which one would sink at every step. If the elephant charged and I missed him, I should have about as much chance as a toad under a steam-roller. But even then I was not thinking particularly of my own skin, only of the watchful yellow faces behind. For at that moment, with the crowd watching me, I was not afraid in the ordinary sense, as I would have been if I had been alone. A white man mustn't be frightened in front of "natives"; and so, in general, he isn't frightened.