God is never going to turn away from someone or turn someone away if they are willing to seek Him truly. The one true God, the God of the Bible revealed through Jesus Christ, has revealed His heart for us all throughout the Scriptures.
The Bible says God shows His love for us in that while we were still sinners, Christ died for us (Romans 5:8). And when people wonder why God hasn’t come to judge the world, God says He is waiting for more people to turn to Him in repentance, “…not wishing that any should perish, but that all should reach repentance” (2 Peter 3:9). He promises to all who look for Him that they can find Him if they look with all their heart (Jeremiah 29:13). And Jesus said before He died that once He was lifted up, He would draw all people to Himself (John 12:32). In fact, Jesus even says no one comes to God unless the Father draws them (John 6:44), so if we’re feeling drawn, we can know it’s God reaching out to us.
We can see God’s heart clearly in His Word, and He’s reaching out to each of us. The question is, what’s going on in our hearts? We don’t have to worry if He cares. He does. God left His throne to come to earth to rescue us and restore our relationship with Him through Jesus’ perfect life lived in our place, through His death that paid our sin debt, and through His resurrection that will give us new life as we place our trust in Him. That shows us our value. Though He won’t turn us away if we come to Him, our time on earth is limited. Any day could be the last for any of us.