Let's address your concerns with God's word. Firstly, it's important to remember that our battles are not against flesh and blood, but against the rulers, against the authorities, against the world powers of this darkness, against the spiritual forces of wickedness in the heavenly places. Ephesians 6:12 WEB.
Your request mentions inappropriate behavior from cats and unwanted advances from men. Let's address these issues and remember that the name of Jesus was mentioned. It is only in His name that we have access to God the Father, and it is only by His name that we can be saved. We will discuss this further after addressing the issues raised.
Firstly, regarding the cats, this is a practical issue that needs to be addressed. You should take steps to control the behavior of the cats or remove them from your environment if necessary.
Secondly, regarding the men from your past and those you mention by name, it's clear that you want them to stay away from you. We will pray that God will help you maintain a healthy environment. It is also important to remember we are to keep our minds focused on pure, honorable, right, lovely, and admirable things. Philippians 4:8 WEB.
"Do not be deceived. 'Evil companionships corrupt good morals.' 1 Corinthians 15:33 WEB.
It is good that you are seeking a new husband. We will pray for God's will in your life and that He will bring a godly spouse into your life if it is His will. A spouse should be a believer in Jesus Christ.
In 2 Corinthians 6:14 WEB, it is written, "Do not be unequally yoked with unbelievers, for what fellowship have righteousness and iniquity? Or what fellowship has light with darkness?"
Marriage is a sacred institution created by God for a lifelong commitment between a man and a woman.
Regarding soul mates, the Bible does not support the idea of predestined soul mates. Instead, it teaches us to trust God and not to be involved with anything that is evil, which soul mate is.
For all of us that believe in Jesus Christ:
"...as many as received him, to them gave he the right to become God's children, to those who believe in his name: who were born not of blood, nor of the will of the flesh, nor of the will of man, but of God." John 1:12-13 WEB.
"because, if you confess with your mouth that Jesus is Lord, and believe in your heart that God raised him from the dead, you will be saved. For with the heart, one believes unto righteousness; and with the mouth confession is made unto salvation." Romans 10:9-10 WEB.
Let us pray:
Dear Heavenly Father,
We come before You in the name of Jesus, lifting up ###. We pray for a divine intervention and a practical solution in the issue with the cats. We ask that You help her maintain a healthy environment, free from unwanted advances from men from her past. We pray for Your will in her life, and if it is Your will, we ask that You bring a godly spouse into her life where a spouse is defined as a believing husband. We rebuke any evil influences in her life, including the idea of soul mates. We pray for her peace, protection, and guidance. Help her to keep her mind focused on what is pure and pleasing to You, Lord. We also pray that ### fully understands believing in Jesus as her Lord and Savior, and how she should be saved. We pray this IJN.
Amen.
Prayer Focus: God, Thank You for loving me. Thank You for loving me, Jesus. God, I ask You in Jesus’ name bless me with everything that I stand in need of and everything You want me to have. Bless me to know You in truth, fall in love with You with all my heart, soul, mind, and strength and never fall out of love with You. Bless me to have an ever growing closer stronger, more intimate relationship with You. Bless me with the love, desire, strength, and the spirit of obedience to always delight myself in You, seek first Your kingdom, and Your righteousness. Help and strengthen me God to always respect and obey You. Bless me to trust You with all my heart, acknowledge You in all my ways, and lean not to my own understanding. 
