Old but not finished
Just to introduce myself to the community...I'm a 62 year old retired Headteacher and have recently bought a very nice recumbent, a (Radius) Peer Gynt (lwb uss). My first ride was somewhat scary. I just couldn't relax which I'm told is the secret. I will persevere and hope to benefit from the experience and advice of any recumbent riders on the forum. I live in Cheltenham, UK, so if there is someone not too far away I would be pleased to hear from them.
Get thee to the 'bent subforum for moral support. It is a religion to them, and so they will be sure to give you aid and comfort.
First and foremost you need to have confidence that you'll eventually get it. And you will :)
Everyone will say "relax your upper body", but IMO those are just words and you just have to get enough miles and it will happen naturally. Just keep riding.
After a bit of seat time, I did low speed figure-eights in an empty parking lot until I started to feel comfortable with the handling.