That's the problem, don't squeeze your trigger, I assume your shooting a wrist release. Put you index finger on the trigger (after your on the target) as you continue pulling back( don'tsqueeze the trigger, let this slight motionpropel you into a release) this will eliminate the problem and will give you a surprise release eliminating target panic.. If you get the chance to buy a back tension release do it, shooting a back tension will teach you how to release a wrist release. Most archers I run across don't know the first thing about a release, they squeeze or pull the trigger like a rifle.
If you need more help, pm me.