This is an enormous issue for writers of Sci fi and fantasy. The world must be deep, complex and well imagined. One of the tropes is to describe an Earth creature and give it an exotic name. If it looks like a bunny and acts like a bunny, then it is a bunny, not a swoop or as slek. If it really is a bunny, then how did it come to be in that location? Was this a result of terraforming? There are many possibilities that don’t include using wacky doodle names for the aforesaid bunny.
On that subject, if a recognisable creature needs to figure in the book, then how did it arrive? Was it genetically engineered, or was it imported? If it is there, then this is something that needs to be addressed.
Of course, if you’re writing pseudo-medieval fantasy / alt-history you can have as many bunnies as you like… 😉