The how depends upon the factors contributing to the lack of peace, but for most of us, thinking about our lives the way God thinks, instead of our natural human responses, makes all the difference. For me this was becoming steeped in Scripture, and praying the liturgy of the hours. There is so much in the Psalms about feeling like an outcast, and how God’s point of view saves us from it.
The other major factor is forgiveness. When we are actively and forcefully forgiving others (especially when we don’t feel like it) and pray for their benefit, blessing our enemies instead of cursing them, we become transformed.
There are a variety of reasons why it may not, but I am sure, if you want to learn them, God will reveal them to you. He desires for us to be whole, to manifest the fruit of the Spirit, ,so we can be confident that He will bring us to these things. The main focus must be that He is the vine, and we are the branches. We stay connected to Him and the fruit will grow. So instead of focusing on how hurtful and unjust things are, we must focus instead on clinging to the Branch.
No I want to be normal, I hate being me.
Have you considered that God may not want you to be “normal”? That perhaps He has a plan for your life that embodies your sensitivities? What if you were to love yourself, as He loves you? How can you love others as you love yourself, if you do not?
Accepting yourself as you are does not mean you need to stay that way. But hating being you is hating someone God has created in His own image and likeness.
This is what I meant about seeing yourself from God’s point of view. If you change your mind and adopt His perspective, you will find yourself much happier and peaceful.