Seeing that the old man fell or was hit by a car, should we do something good to keep the old man from going to the hospital or losing his reputation?

I think we should save the old people. Although you are misunderstood by others, it is also a kind of life. If you really help the old man, but others misunderstand you, but as long as you don't do unnatural things, the truth will come out, and you won't misunderstand a good man or let a bad man go.