Quick answer
Insight slows a person down, and the slowing is not weakness. The verse calls letting an offense go a man's glory.
Read both lines
The first line makes patience a function of understanding rather than of temperament, which reframes it entirely: a slow fuse here is evidence of sight, not of a mild disposition. The second line then does something the ancient world would have found startling by attaching glory to passing over an offense. Honor cultures locate glory in the response, not in the restraint. The Hebrew word for the offense is pesha, the same word behind "transgression" at 17:9, where covering one is called seeking love. Overlooking is not pretending nothing happened. It is seeing clearly what happened and deciding it will not be collected.
From this side of the cross
The verse describes what God has already done on a scale no one could invent, and the wording lands close. He is the one who passes over transgression, and the person who overlooks an offense is doing in miniature what has been done for him without limit.
Related: Proverbs 17:9 · Proverbs 14:29 · Proverbs 16:32 · Micah 7:18
New King James Version®, Copyright © 1982, Thomas Nelson. All rights reserved. Full copyright information. Scripture provided by API.Bible.
Go Deeper
If this verse has been used to put weight on you that it was never carrying, ask about it directly.