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They really shouldn't. Cow's milk can give them digestive problems. I would recommend calling a vet because she could be sick. Anyways I would definately not give her cow's milk, you could try buying some cats milk from the pet store and refrigerate it but if she won't drink that, just call the vet.
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We also have a German Shepard, and she acts up like that sometimes when she is not getting enough exercise. I would highly recommend taking her for walks everyday, or playing fetch. This should help, but if she still does it a lot then I would just try to show her what she did wrong … Read more