Sounds like my hounds. One of our dogs has an arrangement with a deer who got hit by a car a couple years ago, she and her fawns can hang out under the dog's favorite oak tree, but any other deer gets chased off with much noise.

However, I can't say we've noticed any reduction in the deer fecundity here because they get chased around. They simply learned to tolerate the occasional chase as a cost of living in our valley, which is evidently not too burdensome on them.