Yes, unlawfully shooting a dog is against the law.
The dog did not bite anyone. The police officer shot the dog.
Why are you defending the police officer’s irrationality? Do you approve of irrational responses to the mere presence of a dog? Are you cynophobic yourself?
Do you fear that you will be shot by an irrational officer if you do not defend irrationality?
But lets examine what we do know. We do know that this woman has a 7 year old dog that's not spayed and she lets the dog roam free because the 7 year old dog just gave birth to a litter. Dogs who have just given birth are protective so I can see a likely scenario where the dog felt threatened and charged the cop. Sounds like an irresponsible pet owner to me. Lets her dog get knocked up, and is clueless to the aggressive behavior of a new mother dog
We also know that this woman practices bad judgment in her personal life with the violent boyfriend and all.
So we have an irresponsible pet owner and and an irresponsible woman in her personal life.
Do you identify with people who act irresponsibly in what seems to be every aspect of their life? Maybe that's why you overlook all of her irresponsible behavior.