Oh honey (((((((((((((((((hugs))))))))))))))))))) I have tears for you and your little baby. She DID have a perfect life and one where she was much loved.
I comfort myself when I lose my critters that animals do not know they shouldn't be sick, and shouldn't die. Only human beings carry that burden.
For animals, one day, the light just goes out. They accept their lives, good and bad, without judgement or wishes to the contrary. They are perfect little Buddhas of accepting what life brings them, and do their best every day.
We can learn so much from them. In fact, we need to. That must be why we are all here, sharing our delight and love and losses.