Don't be ashamed of it, or it will result in depression, insomnia and hopelessness. You cannot escape these unless you face fear. Fears should be discussed openly - with anyone you trust. This might give the listener the courage to talk about his or her own fears. Both of you will become stronger.
Fear has to be approached positively.
Fear is not your enemy, it can be your friend. Depending on their disposition, they will either run or fight to save themselves. But we have to face fear. This is the first step to healing. Every thought has psychological and physical effects.