What is it that you are anxious about?
Missing your flight? ARRIVE at the airport 2 hours ahead of time and you'll be fine. If you have time to kill once you get to the gate, find the closest bar, have a drink, and relax.
Losing your luggage? Either pack just enough to fit in your carry on luggage or cross pack with your DH ( you put some of your stuff in his suitcase, he puts some of his in yours). Make sure any valuables, electronics, prescription meds,and all documents are in your carry on.
Going through security? Wear clean underwear.

You'll be fine. No big deal. Just don't have anything in your carry-on luggage that you shouldn't have. If in doubt, the TSA website has a list of prohibited/restricted items.
Flight leaving late or being cancelled? No point in worrying, since there's nothing you can do about it. If its cancelled, get on your phone ASAP and rebook. Have a drink and relax.
Enroute misadventure? The likelihood is considerably less than the likelihood of an accident on the way to the airport.
Bring something to distract you. Read a book. Listen to your favourite music. Talk to your DH about the trip. Sleep. Have a drink or two. If you're really nervous, have a drink before you board.

The airport bars open early and close late.
Being nervous about something you haven't done before is normal. Just remember that there are thousands and thousands of uneventful, boring flights every day. I admit that much of this post has been tongue in cheek. But the bolded part really does help if its the actual flying that makes you nervous.