I'd shoot it for sport. But that would inherently imply that it wasn't one of those fluffy bunnies in the photographs, rather a cunning wild rabbit from a well hunted linneage who are actually difficult to hunt.
It would have nothing to do with the joy of killing it (that would make me a sad weak pathetic fuck trying to satisfy tribal urges meant for humans on something which didn't fight back- and in other words quite lame and cowardly indeed) or for "punishment for being a harmfull introduced species" (that would make me a sad weak pathetic fuck with a lame excuse), and I wouldn't eat it afterwards (that would make me a sad weak pathetic fuck trying in vain to litterally devour his remorse and guilt).
I'd rather not shoot it, coursing it with sighthounds would be more sporting.
Ideally the bunny would have a good chance of escaping with it's life, and it would fall on account of it's own faults.
Actually no, I wouldn't shoot it.
Some animals are more than a match for a man with a rifle (sambar deer for example), but bunnies aren't.
As an english gentlemen by blood I'd decipher the most sporting method of hunting the rabbit, where it's odds of success outweigh my own. Then I'd get amongst it. Chances are the bunny would have as much fun as me and win. And that would be great. I wouldn't throw fits of rage like a starving frenchmen, nor would I think up a way to torture domestic rabbits(in an attempt to teach wild rabbits a lesson) like a common mongol.
I'd respectfully give my kudos to the rabbit for outwitting me on the day.
Hunting for sport, and making it sporting, is the only acceptable hunting a civilised human being can engage in. Generally the lower classes of human being aren't capable of understanding the complex nuances of sportsmanlike hunting and this is why they were restricted from engaging in any form of hunting during the middle ages.
Unless you're a hungry savage of the kalahari "i'd like... eat it afterwards and shit" doesn't cut it. And if you're a savage I'd prefer you communicate your intentions through clicks and whistles.