I'll tell you this now and just think about it for a while.
Try to imagine what you're gonna be doing in 5 years. Imagine her with you and imagine the life that you'll build together. Don't think about what you're gonna do when you see her, just think about what you're gonna be doing several years down the road. You should be comfortable with it all.. just accept that this girl is gonna be a part of your life. Make sure it's calm and positive.
Anxiety comes from anticipating the near future. You're wrapped up in anticipation and as your anxiety level increases, your ability to perform decreases. If you get too scared, you'll be frozen. The method described above is one way to train yourself out of anxiety. Before you meet her, just sit back, close your eyes and just imagine the happy life that you're gonna lead.
The secondary approach is to simply have some alcohol. Not a lot.. don't get drunk. Just have a drink or two (whever it takes you) to get loose. Alcohol lowers your anxiety curve and will make you a little less witty, a little more daring, but it keeps you moving through situations where you may normally be frozen.
The other consolation that I can give you is this: Let your emotions show. Not only do girls love that, but it's a lot easier than talking your way through a situation. Your girl doesn't need to hear something funny when she steps off the plane, she wants to see you and it's only sweeter when you're just as overcome with emotion as she is.
Now, as far as performing in the PHYSICAL sense, I can't help you with controlling your own body. All you can do is have a sense of humor about it. If the time comes and you're too nervous to get it up, don't fuckin' worry. Just grin at yourself and know that you're experiencing something that every guy experiences. It has nothing to do with not being turned on. It's simply a human survival function that means you're way too anxious for your brain to even consider anything important enough to give creedence to over your 'fight or flight' instinct.
When you get past that, or if that's not even a factor, don't worry about being the world's greatest lover. Some things will take care of themselves. If you are calm and collected as you put your hands on her body, her feelings for you will control her reactions and it will have very little to do with what you're actually doing. As it goes on, you'll get better at what you do and your skill will be able to replace the waning exhilaration of her meeting her lover from across the globe.
And in closing.. what the fuck are you doing stealing women from the US? We're hard-pressed over here to find quality women without all you damn euros stealin' them from us!