[Explanation]
This ḥadīth was quoted by the author, may Allah have mercy on him, to highlight the merit of reconciling two people who are at odds. If someone sees two men disputing over something and brings about peace between them, he is following the example of the Messenger of Allah ﷺ and has performed a great act of goodness—just as was previously discussed in connection with the divine statement: “There is no good in most of their private conversations, except for those who enjoin charity, or goodness, or reconciliation between people; and whoever does that seeking Allah’s pleasure, We shall grant him an immense reward” (Qur’an, 4:114).

When the Prophet ﷺ heard two men quarreling and their voices had grown loud, he came out to them ﷺ to see what was taking place. This shows that there is no harm in a person intervening in a disagreement between two people so long as the matter is not being kept private, for these two men had made their dispute public and were speaking in raised voices. If, however, the issue is being handled confidentially, it is not permissible for anyone to intrude, for such interference would embarrass the parties. Their concealment of the matter indicates that they do not wish anyone else to know of it; forcing yourself into their affair merely puts them in an awkward position, tightens the situation for them, and may drive them, out of wounded pride, to persist in wrongdoing and refuse to make peace.

What truly matters is that a person strive to be an instrument of goodness, eager to reconcile people and remove hostility and grudges, thereby earning abundant reward. Allah alone grants success.