You've agreed to meet, picked a place, but the closer it gets to "X" hour, the more your hands shake. Anxiety before a first date is absolutely normal. It shows that this event is meaningful to you.
The first step to overcoming fear is to lower the importance of the event. You shouldn't treat this meeting like the interview of your life or your last chance to find love. Treat it simply as an opportunity to have a good time with a new person, drink some delicious tea, and share stories. If you don't match, it's not a tragedy, just a valuable experience.
To avoid awkward pauses, recall a few interesting topics you discussed in the chat beforehand. The main rule is to be yourself. Don't try to seem perfect or play a role. Sincerity, the ability to laugh at yourself, and friendliness are the most attractive traits that will help both of you relax.