The chances are that in fact you do care about animals.
The overwhelming majority of people in our society do, it’s just that this consideration only extends to certain species. Millions of households are home to companion animals such as dogs and cats, with whom humans form strong emotional bonds.
As a general rule we’re fascinated with other creatures, as the enormous popularity of wildlife programmes on television and animal videos on social media suggests, and many people are passionately against blood sports such as foxhunting or bullfighting.
In the UK, the recent badger cull aroused strong emotions across the population culminating in protests and petitions, and the famous video from 2010 of a woman putting a cat in a wheelie bin caused widespread outrage. It’s rare for a person to feel no empathy at all towards any animals, so if the empathy is there, why not extend it to all animals?