As soon as you complete your order we display your order number on screen and you will be emailed confirmation of your order. As long as you have an order number everything is okay, but if you didn't receive an email there's a chance you've entered your email address incorrectly or the email has been sent to your junk folder.
If you were logged into an account you can view your order history in the My Account section, but for customers using the guest checkout option you might need to contact us and confirm your order was successful.