Christ came as High Priest of the good things to come, with the greater and more perfect tabernacle not made with hands, that is, not of this creation. (Hebrews 9:11)
The Old Covenant was a shadow of the New Covenant established by and through Christ. We no longer need an earthly priest to make intercession for us because we now have a heavenly Priest to do so, the Lord Jesus Christ. We are now part of those good things to come. We are now able to enter into that more perfect tabernacle. Because of the finished work of the Cross of Calvary, we are not only able to enter into the new tabernacle, but we are able to enter into the holiest of holies. We no longer need a priest. Christ is our high priest.
As a matter of fact, we are now a holy priesthood. We can go directly to God. The veil has been torn from top to bottom. (1) We now have liberty to approach the throne of God. We can come boldly before Him. The old tabernacle was limited in that it was reserved for a certain few, but now it is open to all who believe.