If you just love a cat, that's normal, there's no special name. If you are obsessed with cats like I am, you'd be called an Ailuromaniac, meaning cat maniac.
A felinophile is someone who loves cats and has a deep appreciation for felines. This person may enjoy spending time with cats, learning about their behaviors, and advocating for their well-being.
A person who loves cats is typically referred to as a "cat lover" or a "cat enthusiast".
Someone who loves babies is called a pedophile.
Logophile
Phylomath
Patriot.
A boylover
A Lush.
Aquaphile
Greedy
A nerd
sellotapist