Theres not much you really can do except to let them get used to each other gradually.
And be cautious when Corkscrew and the Dog meet,as Corkscreww wont be used to Dogs,and The Dog might need time to get used to a New Cat.
I know that when introducing a New Cat here,I have been very lucky,that they all seem to get along so well.
Our Prayers are going for a Smooth Transition.