Therefore, since the children share in flesh and blood,
He Himself likewise also partook of the same...
Therefore, He had to be made like His brethren
in all things, so that He might become a merciful
and faithful high priest in things pertaining to God...
Therefore, since we have a great high priest who
has passed through the heavens, Jesus the Son of God...
For we do not have a high priest who cannot sympathize
with our weaknesses, but One who has been tempted
in all things as we are, yet without sin.
Hebrews 2:14, 17; 4:14-15
The beauty of Jesus Christ being our high priest before God, is that He came down and took our flesh upon Himself, and in so doing was tempted in every way, just as we are tempted. From that perspective He operates as our intercessor before God because He can fully identify and sympathize with the yearnings and temptations of the flesh. Now, of course, He did not succumb to the temptations, but He was tempted none the less. So when He intercedes with God for us, when He pleads our cause before God, He does so from a position of familiarity and understanding of just what it is like to be in a body of flesh. He intercedes with insight gained from living amongst us, and sharing our human condition.
Yes, He is our Savior, but once He becomes our Savior, He then assumes the role of our Advocate before God (I John 2:1), and what a role that is. We know from Scripture that Satan is our adversary, and part of what he does as our adversary is accuse us (Christians) night and day before God (Revelation 12:10), and he certainly has enough ammunition to use against us as none of us is without sin (Ecclesiates 7:20, I John 1:8-10, James 1:21, 3:2, Romans 7:17-21); but for every accusation we have an Advocate (I John 2:1) who intercedes vigorously for us based on His death for our sin, His paying the penalty for that sin, His blood being shed for that sin; and that His death is the propitiation (satisfaction of the holy wrath and satisfaction of the justice of God) against that sin (Jeremiah 50:34, Micah 7:9). His sacrifice and its accompanying propitiation is not just an adequate defense, but is an overwhelming defense, an impenetrable defense against all the accusations of the enemy.
As our high priest, Christ knows and cares. As our high priest, Christ is capable and qualified. As our high priest, Christ is indefeatable. So don't let the guilt of your sin keep you from coming to God; and once you have come to Him, don't let the accusations and incrimination of the enemy weigh you down because Christ has vigorously pleaded your case and defended you, and therefore there is no longer any condemnation from God upon you (Romans 8:1).
Praise be to God for His wondrous salvation and all of its benefits to men.