You are nicer than I would be. Of course, most dog owners think they are in the right just because they have the dog and you have the chickens. Don't be surprised if she does not respond in the same reasonable manner in which you have approached her. Or, if she seems to respond to you, then doesn't follow through with a plan of action.
I have been in a situation with one particular neighbor's dog, who has been on my fenced mountain property multiple times and the owner received multiple calm warnings. In spite of that, my flock was threatened with death by shotgun in their own coop. So, it's not always as simple as you think it will be. I hope you can work it out, but we've seen hundreds of these stories on BYC and they rarely are easy peasy, so I have my doubts.