II Petert 2:6 And turning the cities of Sodom and Gomorrha into ashes condemned them with an overthrow, making them an ensample unto those that after should live ungodly;7 And delivered just Lot, vexed with the filthy conversation of the wicked:8 (For that righteous man dwelling among them, in seeing and hearing, vexed his righteous soul from day to day with their unlawful deeds;) 9The Lord knoweth how to deliver the godly out of temptations, and to reserve the unjust unto the day of judgment to be punished:
God calls Lot 'just' and 'righteous' in II Peter. He certainly was bothered by the things going on around him. He was vexed by unlawful deeds, yet he continued to live there.
Think about what surrounds us today. We are constantly barraged by ungodly issues. There is nothing new under the sun. All one has to do is to look at what is presented to us on TV. Cable news runs practically non-stop and they for the most part, promote liberal ungodly agendas. Movie channels deliver soap opera type movies all day long. Profanity, nudity and violence dominate the story lines. Reality shows are popular, even though they are not true reality. "They" say we live in a changing world. Truthfully the world has not changed much. Good is still good and evil is still evil. Both can effect us.
We can start to become desensitized to evil if we are not careful. It can be gradual. The more we are exposed to it, the less serious its violations seem. In Lot's world he still had a choice and at some point he became accountable for his choice. While Abram (Lots uncle) developed character in believing the wonderful promises of God, Lot was looking at cave dwelling after escaping the ruin of Sodom. Neither of these men were perfect, they differed in the focus and direction of their attention.