I just follow my shot sequence I know if I do that part correctly I will be able to at least hit the target, knowing I can hit allows me to relax and really zone into the kill.
When I was training with coach Kim I asked if any of his Olympic shooters got target panic he said "no, never", he told me, by following a correct shot sequence you wont get target panic, I think I understand what he meant from my first paragraph, as I've not had any issues for 12+ years now, I have total faith in my shot sequence in that if I follow that sequence correctly it will get me scoring somewhere on the target.
Nowadays if I miss 99% of the time it's just getting the distance wrong (IFAA 3D has 60y max).
I think that part can also be a cause of target panic for us Trad (unsighted) shooters, for me the only way to deal with it is to consciously/subconsciously decide on the distance and then commit to that decision 100%, if at any time I'm worrying about missing or the distance might be wrong I'm not going to be able to follow any shot sequence.
A good course builder will use every bit of the terrain to try and trick you, so it's also good to understand/accept you might miss the odd shot, two of us build around 12 a year and no compound has ever shot a clean round on one of our 3D courses, last 3D I did I shot with my compound buddy and he's standing at the stake on a 35y deer shot shaking his head, you can see the kill but not much else, I inform him that I didn't put this one out, he replies, "yeah but it has YOU written all over it."