Adrenaline Rushes happen to everyone. Especially when public speaking.
Some people drink to take the edge off. However, if they wait about 15 minutes the shaking from the rush goes away on it’s own. It helps to arrive to events for speaking a little early so it hits you before you get on the stage.
It’s nothing. It’s natural. No one of any sort of intelligence judges people on such things.
The strongest speakers just keep on talking anyway. You have to be vulnerable to truly be free.
Watch this speech by Meryl Streep.