Watch out for poison aura equipment bonuses; I've taken out a few bunnies and chickens that way just by walking past them.
Even at level 15 the killer bunny is fairly difficult (at least without using magic/poison). I got him at the river just downstream from the fortune teller. He couldn't get up the bank if I stayed higher up; if I moved downstream too much he would figure out that he could get around the steep section and come uphill. A bow did damage, though relatively slowly. It helped after I summoned my creature; it kept him occupied and stationary, so I started doing a little better damage.
With Rush Attack on level 4 I had a 45% chance of stunning. With full hit points I saved and then rush attacked; if he got stunned I could get a hit or two in before having to run away again. If he did not get stunned, then I would get hit which could mean instant death (~410 HP), but usually just got me down low enough that the game automatically paused with a warning about dangerously low health. After jumping away, I would switch to a bow for a minute until my HP regenerated, then save and Rush Attack again. After the second (possibly third) successful Rush Attack, he was low enough to finish him off with Rothman's bow (for the extra Wisdom level).
With level 5 Wisdom, all from equipment bonuses, I got 3561 experience points for the bunny.