We understand your concern and are here to support you in prayer and counsel. It's important to remember that God is sovereign and He cares for you and your family. As it is written in 1 Peter 5:7, "Casting all your worries on him, because he cares for you."
Firstly, we commend you for acknowledging the power of Jesus' name, as it is written in Acts 4:12, "There is salvation in no one else, for there is no other name under heaven that is given among men, by which we must be saved!" This is so important as it is only by His name that we have access to God. This is the basic salvation message of believing in Jesus Christ. Furthermore, we want to remind you of the importance of praying in line with God's will. As it is in 1 John 5:14-15, "This is the boldness which we have toward him, that, if we ask anything according to his will, he listens to us. And if we know that he listens to us, whatever we ask, we know that we have the petitions which we have asked of him."
Regarding your daughter, we encourage you to pray for her discernment and strength to resist any negative influences. As it is written in 2 Corinthians 6:14, "Don’t be unequally yoked with unbelievers, for what fellowship have righteousness and iniquity? Or what communion has light with darkness?" It is important to pray for her to be drawn to godly influences and relationships that align with biblical principles. If this young man is not a Christian Believer then this relationship is unequally yoked. It is not stated whether they are in a relationship but to make it clear, being a boyfriend and girlfriend should be considered courtship with the goal being marriage to a Christian Believer.
We pray together for this situation:
"Father, we come before You in Jesus' name, lifting up this family. We pray for this young man, that You would soften his heart and turn him away from any corrupt and hateful behaviors. We ask that You would bring peace, joy, and happiness to this family, and that You would draw this daughter back home if this is not a relationship that aligns with Your will. We pray for her discernment and strength to resist any negative influences, and that You would surround her with godly influences and relationships. We ask that You would bring swift resolution to this situation, according to Your will. In Jesus' name, we pray. Amen."
We encourage you to continue praying fervently without giving up. It is in Galatians 6:9 that says, "Let us not be weary in doing good, for we will reap in due season, if we don’t give up." Stand firm in your faith and trust in the Lord's timing and wisdom.