Target panic, or "stage fright" is overcome by practice, and more directly to the point, practicing how to concentrate and exclude all other noises, and distractions from your shooting routine. Every sport has the same problem. I am told by a friend that in golf, its called the " Yips ". Since I don't golf, I have to rely on his statement on that.
I deal with Target Panic by developing both a loading and a firing routine. When I have my feet set square to the target, according to preshoot practice, and marks I have made in the ground at the firing line for my feet, I mount the gun to my face the same way every time. I breathe in the same way every time. I exhale 1/2 of my breath the same way in the same time every time. I begin my count to release my trigger within 4-7 seconds. If I cannot achieve the sight picture I want in that window, the gun comes down, I exhale, deep breathe, rest the gun and shake my shoulders and arms to get rid of lactic acid in my muscles, and when I am ready, begin my mounting technique over again. I have a follow through cadence I use, also.
To exclude what everything else other shooters are doing from bothering me, I think and " Play " a very difficult piece of music I know, in my head. By filling my brain with that music, my brain has no room to be " listening" to what others are doing or saying.
I learned this technique as a musician when I was a kid, being pushed out on a stage to perform in front of others. When I do it right, it does not matter if I am in front of a thousand people, or 5, or all alone. My performance is the same. The next thing you have to learn with this, is how to go into this " Performer's Zone ", and come out of it, quickly, so you don't wear yourself out with that intense level of concentration. All it takes is practice- correct practice!