"killed by Battersea Dog's home" isn't really fair. They would never chose to kill a dog if they didn't have to, they only exist so that they can help animals. It's unfortunate that there's such a high volume of people who get rid of pets with little regard, and ending up at Battersea, for however long a time, is usually more humane than staying out on the streets with no food or warmth. Battersea would probably keep them forever if they could, but that would mean not being able to take in new dogs as there wouldn't be room. The poor little puppy's state of affairs isn't Battersea's fault, and if she ends up being put down, that wouldn't be their fault either, rather the fault of the person who bred from its parents, and the people who didn't care enough to keep her or find her a loving home.