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Part of it depends on how thick it is. The risk is that chicken poop is high in nitrogen. If there is enough there, it can burn up the plant, causing it to turn brown and die. Different plants have different sensitivity to it.
If it is just an occasional splat, just mix it with your soil and go ahead. Wild birds are dropping poop all the time. As long as it is spread out, it’s not a problem. Nature’s way of dealing with these things is dilute, dilute, dilute, with a bit of time thrown in.
I don’t know where you are that this might be an issue this time of year or if you are just preparing for spring planting. A real common practice is to empty out your coop this time of year, even into late November, and put that stuff on your garden, even if it is on top of snow. By spring planning time, it will have broken down and be a great additive, not causing a problem. Just work it into the soil.
To get a bit technical without giving you a clear answer, how fast it breaks down and is safe to plant will depend on concentration (piled on top and how thick or mixed in) and your climate. A warm wet winter will break it down faster than a frozen or extremely dry winter. It’s hard to get real specific but if you are looking at a spring planting or just an occasional splat, you don’t have any worries. With 4 hens I seriously doubt you have a problem.