Judas Iscariot was predestined to be an Apostle of Christ and not a traitor. Word predestined can be interpreted in two different ways.
Being predestined without free will by default, or being predestined with a free will to have a choice.
John 9.1-13
Jesus healed a blind from birth man on the Sabbath
1.As He walked along, He saw a man blind from birth.
2.His disciples asked Him, Rabbi, who sinned, this man or his parents that he was born blind? 3.Jesus answered, Neither this man nor his parents sinned, he was born blind so that GODS works might be revealed in him.
In this case a man was predestined by GOD to be born blind by default, in order to reveal on him the power of GOD. Bible has many places like this where certain plans of GOD have been predetermined or predestined by default.
But in some cases predestination has been given with a free will and choice. Saul, first king of Israel, was predestined by GOD to be a king of Israel, but he fail the Lord and was replaced.
Some of the prophets have been predestined to be a prophet, but some of them also fail their mission and died. (1Kings 13.11-32)
And so the Judas, he was chosen and predestined to be Apostles of Christ, but he fail and died, just like those who fail the Lord.
But word destined or predestined sometimes has been used in the Bible as FORSEEN or as FOREKNOWLEDGE, means seen the future. So Judas was FORSEEN by GOD, by the prophets, and by Jesus Christ, that a certain man would betray Him, but still, to Judas had been given a free choice to chose, to betray or not to betray Jesus. And Jesus gave him plenty of time to turn away from his plan.
1Peter 1.1-2
1.Peter, an Apostle of Jesus Christ, to those who reside as aliens, scattered throughout Pontus, Galatia, Cappadocia, Asia, and Bithynia, who are chosen,
2.according to the foreknowledge of GOD the Father, by the sanctifying work of the Spirit, that you may obey Jesus Christ and be sprinkled with His blood. May grace and peace be yours in fullest measure.
Many of us did not been destined or predestined by default to be drug users, alcoholics, liars, thief, murderers, and criminals of all sorts, but we became like it in some point of our life.
And far not all people are being predestined to become Christians, but GOD FOREKNOWLDGE and FORSEEN those who are His and who are not.
Above all, Judas' betrayal of Christ made no difference in Christs crucifixion and death, because Jesus already has been predetermined and destined by His Father to be crucified, but not by default.
And even having free will to comply or to reject the Fathers will, Jesus went through with it in order to fulfill the will of His Father, and offered Himself to Him as a Guilt Offering for the sins of humanity.
So with Judas or without him, Jesus would do what He already decided to do. Jesus could easily, without help of Judas or anybody else, could easily handed Himself over to the chief priests and be crucify anyway, in one way or another, and this actually is not even the issue.
The issue is that Judas was out of place and became unwanted, unwelcome, and unnecessary player in the death of Christ, because Christ will be crucified no matter what and nothing can stop it.
So Judas simply fell the victim of his own indifference, ignorance, and greed, but was not in anyway was predestined by default to betray.
If GOD predestined Judas by default to be a traitor, then how it can be justified from the point of view of GODS justice and righteousness?
James1.13-14
13.Let no one say when he is tempted, 'I am being tempted by GOD'. GOD cannot be tempted by evil, and He Himself does not tempt anyone.
14.But each one is tempted when he is carried away and enticed by his own lust.
1John 2.16
16.For all that is in the world, the lust of the flesh, and the lust of the eyes, and the boastful pride of life, is not from Father but is from the world.
Ephesians 4.24
24.and put on the new self, which in the likeness of GOD has been created in righteousness and holiness of the truth.
Ecclesiastes 7.29
29.I have found only this, that GOD made men upright, but they sought out many devices.