I do take my girls outside to their postage-sized fenced-in backyard to potty. I always go out with them, but the thought of hawks and owls has always scared me, especially at dawn and dusk. We just get out and get in quickly.
We have only had a few episodes with interlopers. One time a cat was in the yard and my girls went crazy. Another time there was a opossum on the other side of the fence and I had to pick my dog up and take her inside because she went into predator mode. Oh, and then one time there was a turtle....