I had my first solo about half a year ago. Contrary to many pilot's experiences, mine was underwhelming. No terror or anxiety, but a realisation that I can't cut any slack now that nobody's beside me to help. So all my checks were doing diligently, even twice for some checks, just to make sure. My first final was too high, I chose to go around and try again. The second attempt was just so. I got off the plane just relieved to have got the first solo over and done with. No big smile nor over the moon feelings for me.
My instructor said just go around if I'm not happy with my approach or rounding out. No need to aim for the perfectly nuanced landing on the first solo.
You might also ask your instructor what are the common landing mistakes beginners make, how to avoid them and practice with him how to recover should you make those mistakes. This might increase your confidence.
Good luck!