The distance between us and God the Father will ultimately disappear. The go-between ministry of Jesus Christ will end. For many Christians that comes as a surprise. Yet that is the goal of everything. When Christ has finished his ministry of conquering all of the enemies of God, he hands all authority back to God the Father. The purpose of handing that authority back is so that there will be no distance between us and God.
Then comes the end, when He hands over the kingdom to the God and Father, when He has abolished all rule and all authority and power. For He must reign until He has put all His enemies under His feet. The last enemy that will be abolished is death. For HE HAS PUT ALL THINGS IN SUBJECTION UNDER HIS FEET. But when He says, “All things are put in subjection,” it is evident that He is excepted who put all things in subjection to Him. When all things are subjected to Him, then the Son Himself also will be subjected to the One who subjected all things to Him, so that God may be all in all (1 Corinthians 15:24-28).
When all the enemies are destroyed and those who have not trusted in Christ are judged, any reason for any distance between us and God is gone.