Emotions are hormones in the blood. You can't decide to act or not, if you feel anger, adrenaline is already there and all the cells in your body are ready to fight. If you don't act, they will lose trust in your leadership.
If you don't want the situation to repeat, set up your emotions in beneficial ways. If you think your anger was ineffective in that situation, retune your perception.
Not acting on emotions = cowardice, from bodies perspective.