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Perhaps the answer is within the question? Please let me explain...
A good leader should never have to 'act' - he or she will be fully authentic in every moment. That is to say, he or she will respond to situations as they arise, but what they will have already is this;
There are also techniques which may help you to stay focused during the speech or presentation.
Dear,
At the end leader is a human being and under pressure he can feel nervous , sad ... what should he\\she do ,he\\she should steer his\\her feelings to deal with such circumstances and to avoid the embarrassment and give himself\\herself a chance to continue .
Anyways , sometimes specific situations or events let them stressed , so they get a moment or few minuets to recover himself\\herself and change the topic for a while then return with new tone to finish it.