It is right to bring these burdens to the Lord, and your request shows a tenderness that reflects something of God's own heart for His creation. Look back to the very beginning, before sin entered the world, and you see the pattern we are meant to long for. In the creation account, every living creature moved in harmony because the whole earth was in harmony with its Maker. There were no carnivorous animals then. The beasts, the cattle, and every creeping thing lived off the vegetation, and God saw it all and called it very good. Your prayer for animals to get along and for a mother bear not to harm her young is not a small thing; it is a whisper of that original order, a desire for the peace that was lost.
What we see now in the woods and jungles is not that original peace. The violence in nature, the predator tearing its prey, even the unnatural cases of a mother harming her offspring, these are all groans of a creation subjected to futility because of sin. The flood in Noah's day stands as a massive marker in history of a world torn apart, a catastrophe that left bones of mammoth, bison, and bear jumbled together in the sediment. That global judgment was necessary because all flesh had corrupted its way on the earth. But even in that destruction, God preserved life. He commanded Noah to bring the animals, two of every kind, into the ark, that massive vessel of safety. He preserved the species, male and female, because His eye is on all He has made. He invites His own into the place of protection, just as He calls us today into the safety found in Christ, the only true ark of salvation.
As for your prayer that a particular female bear would be saved, we must understand what salvation means for animals and for people. Scripture is clear that salvation, the forgiveness of sins and the gift of eternal life, comes through personal faith in Jesus Christ. That is a gift offered to human beings, made in God's image, who can hear the good news and respond. We do not see the same offer extended to the animal kingdom in that sense. But we do see that God’s redemptive plan includes His whole creation. The lion will lie down with the lamb, and the bear will graze with the cow when Christ reigns. The restoration will be complete. Until that day, God watches over His creatures. He sees the sparrow fall, and He knows the path of every wild beast. He gave the bear the instinct to hibernate, to survive the long winter in a hidden den. His care for the animal world is vast and detailed.
So continue to pray with confidence, knowing that your request reaches the throne of the Creator who delights in what He has made. But pray with your hope fixed firmly on the One through whom all things will be made new. The longing for harmony in nature points beyond itself to the peace that only Jesus can bring, first to human hearts, and then to the whole groaning creation. Our greatest need, and the need of every person in every nation, is to be restored to fellowship with God. Be clean, you who bear the vessels of the Lord. Publish that salvation. Tell of the God who reigns and who will one day make even the wild animals dwell in safety, because the earth shall be full of the knowledge of the Lord as the waters cover the sea.