Why will God be furiously wrathful at men for committing sins when they only did exactly what He predestined them to do? Why is God angry at what He willed them to do?
he also will drink of the wine of the wrath of God, which is mixed in full strength in the cup of His anger; and he will be tormented with fire and brimstone in the presence of the holy angels and in the presence of the Lamb. Revelation 14:10
26 For if we go on sinning willfully after receiving the knowledge of the truth, there no longer remains a sacrifice for sins, 27 but a terrifying expectation of judgment and the fury of a fire which will consume the adversaries. 28 Anyone who has set aside the Law of Moses dies without mercy on the testimony of two or three witnesses. 29 How much severer punishment do you think he will deserve who has trampled under foot the Son of God, and has regarded as unclean the blood of the covenant by which he was sanctified, and has insulted the Spirit of grace? 30 For we know Him who said, “Vengeance is Mine, I will repay.” And again, “The Lord will judge His people.” 31 It is a terrifying thing to fall into the hands of the living God. Hebrews 10
O man, when you pass judgment on those who practice such things and do the same yourself, that you will escape the judgment of God? 4 Or do you think lightly of the riches of His kindness and tolerance and patience, not knowing that the kindness of God leads you to repentance? 5 But because of your stubbornness and unrepentant heart you are storing up wrath for yourself in the Day of wrath and revelation of the righteous judgment of God... on the Day when God will judge the secrets of men through Christ Jesus, according to my Gospel.
Romans 2:3-16
So why will God be furiously wrathful at men for committing the sins He ordained by His will when these men only did exactly what He predestined them to do?
God did not predestine man to or for sin. because sin doesn't exist or occur in God's reality. Rather God predestines man for righteousness.
Sin is just a lack of righteousness or to miss the mark of righteousness. Sin is like unbelief in regards to its existence and occurrence, whereas unbelief is just a lack of belief or lack of belief's occurrence in reality and thus possesses no object of belief in order to make it exist or occur in reality. Well in the same way sin is a lack of righteousness existing and occurring, it doesn't have a object of belief in order to make it exist or occur in God's reality aka His Kingdom.
For the Lord disciplines the one he loves, and chastises every son whom he receives.” Hebrews 12:6
Therefore, since we are surrounded by so great a cloud of witnesses, let us also lay aside every weight, and sin which clings so closely, and let us run with endurance the race that is set before us, looking to Jesus, the founder and perfecter of our faith, who for the joy that was set before him endured the cross, despising the shame, and is seated at the right hand of the throne of God. Consider him who endured from sinners such hostility against himself, so that you may not grow weary or fainthearted. In your struggle against sin you have not yet resisted to the point of shedding your blood. And have you forgotten the exhortation that addresses you as sons? “My son, do not regard lightly the discipline of the Lord, nor be weary when reproved by him. ... Hebrews 12:1-29
“For God so loved the world, that he gave his only Son, that whoever believes in him should not perish but have eternal life. John 3:16
Blessed is the man whom you discipline, O Lord, and whom you teach out of your law, Psalm 94:12
Those whom I love, I reprove and discipline, so be zealous and repent. Revelation 3:19
For they disciplined us for a short time as it seemed best to them, but he disciplines us for our good, that we may share his holiness. Hebrews 12:10
It is for discipline that you have to endure. God is treating you as sons. For what son is there whom his father does not discipline? Hebrews 12:7
Whoever spares the rod hates his son, but he who loves him is diligent to discipline him. Proverbs 13:24
For the Lord reproves him whom he loves, as a father the son in whom he delights. Proverbs 3:12
My son, do not despise the Lord's discipline or be weary of his reproof, for the Lord reproves him whom he loves, as a father the son in whom he delights. Proverbs 3:11-12
Know then in your heart that, as a man disciplines his son, the Lord your God disciplines you. Deuteronomy 8:5
For the moment all discipline seems painful rather than pleasant, but later it yields the peaceful fruit of righteousness to those who have been trained by it. Hebrews 12:11
Do not withhold discipline from a child; if you strike him with a rod, he will not die. Proverbs 23:13
See what kind of love the Father has given to us, that we should be called children of God; and so we are. The reason why the world does not know us is that it did not know him. 1 John 3:1
If you are left without discipline, in which all have participated, then you are illegitimate children and not sons. Hebrews 12:8
And have you forgotten the exhortation that addresses you as sons? “My son, do not regard lightly the discipline of the Lord, nor be weary when reproved by him. For the Lord disciplines the one he loves, and chastises every son whom he receives.” Hebrews 12:5-6
But God, being rich in mercy, because of the great love with which he loved us, even when we were dead in our trespasses, made us alive together with Christ—by grace you have been saved— Ephesians 2:4-5
No, in all these things we are more than conquerors through him who loved us. For I am sure that neither death nor life, nor angels nor rulers, nor things present nor things to come, nor powers, nor height nor depth, nor anything else in all creation, will be able to separate us from the love of God in Christ Jesus our Lord. Romans 8:37-39
But God shows his love for us in that while we were still sinners, Christ died for us. Romans 5:8