It is good that you care for this small creature, and you are right to bring that desire before the Lord. He knows the things we need before we ask Him, and nothing in our daily lives is too small to escape His notice. A little cat seeking shelter and food touches something in the heart, yet we must be careful. If we look at life only on the animal plane, we end up with an emptiness that cannot truly be filled. The humanist view reduces man to nothing more than a highly developed animal, possessing a body and a consciousness but ignoring the spirit. That path leads to frustration, because we were made for more. Our capacity to show compassion to an animal is a gift, but our deepest needs are not met there.
In the Law, God made detailed provisions even for the handling of animals, which shows He is not indifferent to their life. When an animal was hunted or slaughtered, its blood was to be drained out and covered; there was a reverence for the lifeblood. That respect for a creature’s life points higher, to the blood of Jesus Christ that was shed to put away our sins. Your care for this cat is genuine, and it reflects something of that God-given sense of responsibility. But remember, the great provision of Scripture is never about what we achieve, but what God does. When the law was given for the leper’s cleansing, it was remarkable because leprosy had no human cure. God made a provision for Himself to work a sovereign miracle. He left room to do what only He could do.
In the same way, you can ask Him to work in this situation. You are not merely relying on your own efforts to feed and adopt an animal; you are turning it into a prayer, which is an act that acknowledges His hand. Do not try to put God in a box. If He chooses to open a door for you to bring that cat into your home, He can do it. Give Him room to work in His own way and timing. The request for a companion animal is not wrong, but let your hope rest on the spiritual plane where Christ is your sufficiency, rather than on the emotional plane where a pet’s comfort alone will leave the spirit hungry.
The Old Testament worshipper would lay his hand on the head of an animal to identify with it, and that substitute would be slain so the sinner could have fellowship with God. That was only a picture. The reality is that Jesus entered heaven itself with His own blood to secure our eternal redemption. Because of His finished work, you can come to God with any burden. So pray for this little cat, and entrust the outcome to Him. Seek first His kingdom and His purposes, and let the rest fall into place as He wills. He made provision for your greatest need at the cross; He will certainly govern the details that concern your heart here.