to be indignant: to feel strong, morally charged displeasure at something seen as wrong
This verb, "aganakteo", describes strong indignation: the hot, morally charged displeasure a person feels when they see something they judge to be wrong. It is well above mere annoyance and just short of raging fury. The older Greek word began as a physical picture of irritation, like new wine bubbling or skin stung by cold, and by New Testament times it had become the ordinary word for public moral protest.
In the Gospels the same emotion runs in two directions, and telling them apart is the whole point of the word. Six of the seven times someone is indignant, they are in the wrong: the disciples resent two of their own for grabbing the best seats, the temple leaders bristle at children praising Jesus, onlookers scold a woman for "wasting" expensive perfume, a synagogue official is scandalized that Jesus healed on the Sabbath. Their indignation ends up exposing their own hearts.
The seventh time is Jesus himself, indignant when his disciples try to keep children away from him. Here the word is righteous outrage at a real wrong: shutting the small and the powerless out of God's kingdom. Mark sets this next to the disciples' petty anger later in the same chapter so the reader cannot miss the contrast, the identical emotion noble in Jesus and shameful in them. What makes indignation right or wrong is not the feeling itself but what it burns against.