Pokémon have several properties in common with each other that do not apply to conventional animals. Bella's world does not have any population of conventional animals except to the extent that humans count.
"What's an... animal?"
An animal is like a Pokémon except that they typically come in a wider variety of species, have a much smaller lower bound on their size, do not evolve in the way you are accustomed to Pokémon doing, are weaker and more fragile, usually do not respond as well to training by humans, cannot go into Pokéballs or PC storage, and usually do not produce anything you would recognize as an "attack".
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"What's an... animal?"
An animal is like a Pokémon except that they typically come in a wider variety of species, have a much smaller lower bound on their size, do not evolve in the way you are accustomed to Pokémon doing, are weaker and more fragile, usually do not respond as well to training by humans, cannot go into Pokéballs or PC storage, and usually do not produce anything you would recognize as an "attack".