Can this be a fire hazard and is there anything we can do about it?

My house has a backyard that has a gate at the end. Our neighbor has a hedge that is overgrown. A lot of the plant is overgrowing on to our property. Our neighbor insists that is does not grow on our property and she refuses to cut it. Whenever we send our gardeners out to cut the PART OF THE PLANT THAT IS ON OUR PROPERTY, our neighbor always calls the police. Lastly, this could easily be a fire hazard. Most of the plant is dead and dry. But our neighbor insists on not cutting it to "give her privacy". So are we aloud to cut the part that is overgrown on our house?