Well if your not into hunting then no problem.
As for rabbits being innocent, afraid I cannot agree. Grey squirells look innocent but have been the main reason why our native red is almost at extintion levels.
They are offically a pest specises like rats - unless you think they are cuddly too
Woodpigeons eat tons of grain - the list of pest species goes on.
They also have a lot more going for them in terms of spotting those that choose or need to hunt them.
Eyesight, cammoflage, smell, hearing, vibration sensation......
and as most hunt with a legal limit rifle, that means getting close so it increases the odds of detection to thier advantage.
You can still enjoy the sport - there are plenty of clubs for plinking or competition.
But please dont confuse a necessity as a some sort of wanton blood lust.
Whatever you decide. I hope you enjoy your shooting