Target Panic is a type of performance anxiety, the same things as the "yips" (I always heard it called "ball bound" until a few years ago). All sports suffer from them and have pretty much the same base causes.
Just as in that case the reasons and fixes are various - you can have a shyness of hitting the gold, hitting hitting your anchor, all sorts of things. I have a mild form of it with my clicker in that my mind can time when it is getting ready to go off and I just sorta - stop - and increase tension in my arm instead of my back.
If you have a great deal of coaching experience in getting golfers over the yips then you will mostly need to learn how to shoot from an instructional point of view.
For the most part coaching is coaching, a great football coach will most likely be a great archery coach and a great archery coach will be a great football coach. It is just learning your domain specific knowledge.