I don't like running over anything and have avoided it where feasible; I think I've only hit a couple birds or squirrels that ran right out in front of my car. But if I thought there was the slightest possibility that slowing down or swerving to avoid that bunny could result in an accident, I would run it over in a heart beat and I would not feel guilty.

EDIT:
I am a good driver (and male)*

I'd just brake and move off the road.
Those are incompatible options.