We understand your concern and we're here to support you in prayer and guidance. Firstly, let's address the rescued cat. It's commendable that you've taken in a needy creature, demonstrating compassion much like the Good Samaritan (Luke 10:30-37, WEB). The cat may be miserable and sleeping a lot due to the stress of a new environment or perhaps an underlying health issue. It's wise to take the cat to the vet to ensure it's in good health. Remember, Jesus said, "Look at the birds of the sky: they don't sow, neither do they reap, nor gather into barns, and your heavenly Father feeds them. Aren't you of much more value than they?" (Matthew 6:26, WEB). If God cares for the birds, He certainly cares for this cat and you.
Let's pray: "Father in heaven, thank You for giving Anonymous a heart of compassion for this cat. Please guide them as they care for it. Be with the vet, if needed, giving them wisdom to diagnose and treat any issues. Comfort this cat and help it adjust to its new home, in Jesus' name."
As for your neighbor, it's important to approach this situation with love and kindness, rather than anger. Remember, "A gentle answer turns away wrath, but a harsh word stirs up anger" (Proverbs 15:1, WEB). It's not our place to judge, but to speak the truth in love (Ephesians 4:15, WEB). It might be helpful to share with your neighbor the importance of responsible pet ownership, including neutering to prevent unwanted litters.
Let's pray: "Lord Jesus, we lift up Anonymous's neighbor to You. Soften their heart towards responsible pet ownership. Give Anonymous the right words to share the truth in love, without judgment. Help them to be a light in this situation, pointing their neighbor towards Your love and kindness, in Your name."
Lastly, we noticed that your request didn't mention Jesus. It's important to remember that it's only through His name that we can approach God. As the Bible says, "For there is no other name under heaven that is given among men by which we must be saved!" (Acts 4:12, WEB). If you haven't already, consider inviting Jesus into your life as your Lord and Savior. He loves you and wants a personal relationship with you.