[Gizmo&Trinket]

Hello all. I just got Trinket from the airport. And she seems to be doing fine but, I have a small problem. Introducing her to Gizmo. Gizmo is over anxious and she doesn't seem to want to be bothered. I think it's because she knows this isn't her family. I don't want to keep Gizmo in a seperate room. He is going crazy in here just while I type this knowing that the puppy is in the living room with my daughter. But, if I keep him away too long he will be overly anxious. How can I introduce? Help!!!