I went after a group of them up in Oregon (with a club) and tried to chase them away from the Canadian Honkers they were stalking.They would move just enough that I couldn’t get a swing at them, The geese would watch them and just make a short flight of a few feet to get out of their reach.
I finally just left and had to back away as they followed me.
If I had fallen I am sure they would have been all over me in a second.
I’m not sure I can see the point in defending geese from coyotes. It’s not like there is shortage of geese and five seconds after you leave they are going to get the geese anyway.