Amy

Amy is a French name from the Old French Amée, from the Latin Amata meaning 'beloved' — the passive participle of amare (to love). The name entered English in the medieval period and has been warmly popular ever since. Amy is one of those names whose meaning is its entire identity: to be named Amy is simply to be loved, which makes it one of the most honest and affectionate names anyone can give.

Amy is a name that means exactly what you feel about the pet you give it to — beloved. It's simple, warm, and completely unpretentious, the kind of name that has been beloved itself for centuries precisely because there is nothing superfluous about it. It suits a gentle, affectionate female companion who is simply very good at being loved and very good at loving back. Any pet named Amy is going to be the center of someone's world, and the name suggests she takes that responsibility as seriously as it deserves.