I would say that a woman has more chance of handling poop that may cause disease every time she handles the door handle of any public restroom than she has raking out a chicken coop.
Yes, the potential is there. But it is all around you.
If you have house cats, they actually step all over their feces while covering, getting in and out of litter pan, etc. They then jump up on couches, chairs, etc. and the exposure is there.
The dog goes out to poop in the yard, comes in and sits on the carpeting or kitchen floor....he does NOT wipe his butt, I can almost guarantee this. The fecal material is on those surfaces.
When I rake out my coop, I do not put my hands in the poop. I actually use a rake. This rake handle does not come in contact with feces.
Unless you are raking or cleaning out your coop with your bare hands, I would suggest that you are just as likely to get an infection doing this task as you would petting your dogs and cats or using a shopping cart, handling money, using a public restroom or buying produce from a store.
As always....wash yer hands. LIVE your life. Clean out your coop. Don't live in fear.