If looking at the people is what scares you, focus on the exit sign at the back of the room. Deliver your speech to it - it's nonjudgemental, cannot even hear you, and everyone will just assume you are looking at someone behind them.

Practice your part in an empty room, and look at the exits sign to get yourself used to it.

When you are waiting, regulate your breathing intentionally. Breathe in-2-3-4-5. Hold it for 3. Breathe out-2-3-4-5. Repeat, and try to count higher each time, it'll keep your heart rate steady. And if you feel yourself starting to shake, take a pause in your presentation at a good place, and breathe-2-3-4-5. Hold it for 3, then continue.