Some people will indeed be in the midst of a broken heart, mostly likely hidden from you, and your kind, generous spirit will be a healing balm.
Even if people are not currently broken-hearted, the awareness they could be prevents us from careless remarks or actions that might wound - keeps us alert and generous.
Recognize that you, too, have a broken heart - because life breaks our heart - and treat yourself with the same gentle generosity you would a friend.