Riyad-us-Saliheen 865
Asma bint Yazid (May Allah be pleased with her) reported: The Prophet (ﷺ) passed by us when we were with a party of women, and he greeted us.
[Muslim]
This Hadith prohibits Muslims from greeting non-Muslims first. It also tells us that when the road is crowded, we should use the middle of the road and let the non-Muslims use its sides. This Hadith shows the dignity of Muslims and the disgrace and humiliation of the non-Muslims.