Do you wear gloves when you clean up after fido? Take out the trash? Work in the yard (wild critter deficate anywhere they want...I'm sure there's bird feces in your grass clippings).
the answer to all those is nope. i have a pooper scooper and the remains end up in the flower garden. not worried about bird feces, as they only crap on my CLEAN car, and never my yard. the only time i wear gloves is when trimming the dw lovely rose bushes