What will Jesus deny to those who deny Him?
Certainly not salvation for we know God is the Savior of all humanity.
"..we have fixed our hope on the living God, who is the Savior of all humanity, especially of believers." (1 Timothy 4:10)
What Jesus denies to those who deny Him in this age in which we live is to "REIGN" with Christ during the one thousand year age that follows the return of Jesus to this Earth.
"If we endure, we will also REIGN with Him; If we deny Him, He also will deny us." (2 Timothy 2:12).
When Jesus returns the mortals living on this present earth will be reigned over by those who placed their trust in God up until that time. They will be raised to life to do so. At the end of that thousand years, this earth will be destroyed and every human will appear before the Great White Throne of God to give account for how they lived while mortal. When all have done so, every human will bow and acclaim that Jesus Christ is Lord - to the glory of God.
"As surely as I live, says the Lord, every knee will bow before me; every tongue will acknowledge God...at the name of Jesus every knee shall bow, in heaven and on earth and under the earth and every tongue acknowledge that Jesus Christ is Lord, to the glory of God the Father." (Romans 14:11; Philippians 2:10-11)
When God's plan for redemption is complete God will be "All in all".
"For as in Adam all die, even so in Christ, all shall be made alive...For he must reign until he has put all his enemies under His feet...that God may be All in all." (1 Corinthians 15:20-29).
There has always been a remnant of people who believe God. These all endure to the end of life with peace and hope in their heart. All of them will be raised to "REIGN" with Christ Jesus during the one thousand year age that follows the coming of Jesus. That reign is what men who deny Jesus will be denied, however, they will saved and made alive thereafter - or the Bible is false.
"This saying is trustworthy and deserves full acceptance. In fact, we labor and strive for this, because we have put our hope in the living God, who is the Savior of everyone, especially of those who believe. Command and teach these things." (1 Timothy 4:9-11)