The story of Jesus and the adultress is often used to mean that no one should criticize anyone for sinful acts.
I think that is a totally wrong understanding. It means, no one should stone people to death for adultery. It also means, we should each look into our own hearts and find our own shortcomings, and work on ourselves.
It does not mean that we should pat adulterers or homosexuals or any unrepetent sinner on the head and say “there there, God loves you just as you are”.
Certainly God loves every soul unconditionally but He also can be very disgusted and angry when souls rebel and behave in ways He has clearly condemned. He doesn’t want those who are trying to serve Him to cover up sinful and digusting behavior with white wash and pretend that those who commit and promote such sins are perfectly okay as they are.
Telling the truth and not lying is serving Him.
Let he who is without sin cast the first stone.
For some odd reason atheists are usually the ones that use that quote. Could it be that they have an “ulterior motive”? (Duh).