There are some excellant suggestions that have been given.I would like to express my opinion.I have also sufferred terribly from target panic.So bad at one point I almost gave up the sport.Thankfully through dilligence I have overcome the malady.If Bernie Pellerite's and his wife are ever in your area take his weekend archery course.Quite likely the best money I ever spent.He advocates much of what the other posters have said.Make sure you are at a comfortable draw weight.If you can't hold your bow pointing it straight at your target and draw your string straight back without making a face you are over bowed.
One of the most important things if not the most important thing is to relax.You don't have to shoot.If it doesn't feel right don't shoot.The professionals let down 1 of every 3 shots.Take your time between arrows,whats the rush?I often practice with one arrow,even at distances of 50 and 60 yards.I think about my shot while retrieving the arrow and walking back,it also allows your body to become reoxygenated.
Executing your shots with back tension is critical.Have a pro shop owner who knows what they are doing measure your draw length,most archers draw length is to long and there stances are not open enough.Blind bale practice really helps.Get about 3 or 4 feet away from your target(so you cant miss)draw back and close your eyes and execute the shot while relaxed and calm and "feel" what it is supposed to feel like.Continue to practice in that way while imbedding that feeling in your subconscious mind.
Depending on the severity of your TP will dictate the release that you should use.Scotts spring trigger may work or the Answer release may work.I had to go completely to back tension.I went two seasons practicing,3d shoots and hunting with a pure back tension release,thats how bad my case was.Now I use a release that I trigger with my pinky,actually My pinky is laid on it and i fire the release with back tension.I may miss an opportunity at an animal some day because I can't stomp on the trigger but thats okay my shooting style forces me to aim. All of this is a journey and an effort but it is one worth taking!
I would suggest you look in to purchasing Bernie Pellerite's book.I have his tape series.Why not shorten the learning curve if you can.
Best Wishes!!