Psalm 9:1-2 I will give thanks to the LORD

9:3-6 My enemy will stumble and turn back

9:7-10 The LORD has established His throne for judgment

9:11-12 Sing Praises to the LORD

9:13-16 Lift me up from death and let the nations sink down

9:17-18 The wicked nations vs. the afflicted and needy

9:19-20 Do not let man prevail

The Psalm emphasizes that the LORD will...
bring judgment upon the wicked- 9:3, 5, 6, 15-16, 17, 19-20
vindicate the righteous- 9:9, 10, 12 , 18, 18