I was raised in strict adherence to the three "P"'s when it comes to killing an animal, the only three reasons to take its life: Protection, Profit, or Provisions. The fourth "P", Pride, was frowned upon.
If there was absolutely no other means by which I could protect my investment, and I knew that significant damage was being caused by this bird's presence, I would do what I felt needed to be done. But not before exhausting every other maneuver I could think of to try and discourage it from hanging around.