Albert Barnes Commentary 2 Peter 2:7

"and delivered righteous Lot, sore distressed by the lascivious life of the wicked" — 2 Peter 2:7 (ASV)

And delivered just Lot. Genesis 19:16. This case is incidentally referred to, to show that God makes a distinction between the righteous and the wicked, and that while the latter will be destroyed, the former will be saved. See 2 Peter 2:9. Lot is called just because he preserved himself uncontaminated amidst the surrounding wickedness. As long as he lived in Sodom, he maintained the character of an upright and holy man.

Vexed with the filthy conversation of the wicked. By the corrupt and licentious conduct of the wicked around him. Regarding the word conversation, see the notes on Philippians 1:27.

The original phrase, which is rendered filthy, refers to licentiousness. The corruption of Sodom was open and shameless; and as Lot was compelled to see much of it, his heart was pained. The word here rendered vexed means that he was wearied or burdened. The crimes of those around him, he found it hard to bear with.