Hector dearest, you have the right idea. What does the Bible teach?
Jesus is mediator for ALL his followers before God. He died for ALL the followers. God is no respecter of persons. There is no male or female...
What does Watchtower teach? A small sample:
WT 2/1/98
10… Today, those earnestly looking for Jesus include surviving anointed Christians of the Israel of God and the millions making up the great crowd, who also have an everlasting inheritance. Both classes thank God for the new covenant and for the life-giving blessings associated with it, including the greater Atonement Day and the ministry of the High Priest, Jesus, in the heavenly Most Holy.
13 What happens when the last of the 144,000 realize their heavenly hope? Will the new covenant cease to apply? At that time, there will be on earth no remaining member of the Israel of God. All participants in the covenant will be with Jesus “in the kingdom of [his] Father.” (Matthew 26:29)
WT 2/15/91
Hence, the ransom sacrifice is fundamental to the new covenant, of which Jesus is the Mediator. Paul wrote: “There is one God, and one mediator between God and men, a man, Christ Jesus, who gave himself a corresponding ransom for all—this is what is to be witnessed to at its own particular times.” (1 Timothy 2:5, 6) Those words especially apply to the 144,000, with whom the new covenant is made.
11… Christ does not act as Mediator of the new covenant toward them, yet they benefit from this covenant through the work of God’s Kingdom. Christ still acts toward them, however, as High Priest, through whom Jehovah can and does apply the ransom to the extent of their now being declared righteous as God’s friends.
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UADNA-US (Unseen Apostate Directorate of North America-United States)