Being a girl, with some power tools.....
I would buy a gutter and add it to shoot the water elsewhere.
Then I would buy buckets of sand as suggested and fill it. It might take a few trips, but that is right by your house and going to be an issue.
Also, look to make sure the chickens have not dug you a low spot and the rent of the yard is now draining that way. You could put a row of cement blocks around the outside to diver some of the water, fill in the inside with sand so it is higher. You can usually find free blocks on Craigslist, but they are not that expensive