I don't understand why having cats would preclude her from coming inside? I am a cat breeder and have several cats inside and I also have 4 GSD's that live inside with them. One does like to chase, but he is learning. It sounds to me like she needs more stimulation/time with her family.
Bridgette- 05/93-09/10, Jasmine-01/96-5/06/09, Dakotah-14/12/05, Joshua-31/10/12, Sabrina-1/07/01-26/11/13, Shane 11/09/01-08/22/14, Samantha-07/12/14, Amber, Jody, Wendy, Gabriele-01/23/12-12/21/13, Kimi, Jakob, Mandy, Abigail, Tanner, Tonya.