"Do you see her dog?"
Translation:Siehst du ihren Hund?
Sure, it's just a bit unusual. I always had dogs with my family and we just referred to them as der Hund or die Hunde if we didn't use the names. All of them were females. I just use Hündin in the special case when she's in heat and I encounter another dog ( and it's owner...) that might be male. Or if someone asks explicitly.