Unlike God’s love and hate which are mutually exclusive meaning you are either loved by election in Christ or hated in reprobation outside Christ, God’s love and wrath may exist simultaneously.
We know assuredly from Scripture that the trinity is the repository of eternal love between Father and Son by the Spirit and that God’s people because they are in Christ, are taken into this covenant of love. But we were by nature children of wrath (before conversion) and if we backslide as believers we become subject to his wrath and chastening (Psalms 6:1, 38:1). God’s wrath is his implacable hatred of sin (Romans 1:18) and therefore the reprobate have this wrath abiding on them (John 3:36). Believers pre-conversion and who fall post-conversion are subjects of his temporary wrath.
Christ, the object of God’s eternal love became, during his lifetime and especially on the cross, the object of God’s (temporary) wrath.
God, who is a consuming holy fire (Heb.12:29) consumes sin by the Spirit as Christ suffers and dies, then as that sanctifying power is applied to us, he consumes sin in us throughout our life and especially when we die and enter glory. The sin of the wicked condemns them to the fire of his wrath eternally which never goes out because that sin was never propitiated (atoned for).
His love which is his nature and his wrath which naturally follows from his holiness are both to be praised and glorified by us his people.
Interestingly the burning bush, aflame but not consumed, is the symbol of many presbyterian denominations and depicts the church. We are aflame with his imputed holiness and are the light of the world but we are never consumed.