I believe that God heals. Psalm 102:2-3 says
Bless the LORD, O my soul,
And forget none of His benefits;
Who pardons all your iniquities,
Who heals all your diseases;
Reading that, I gather that God doesn't limit healing to physical diseases. That verse says ALL your diseases.
God must be capable and willing to heal emotional illnesses, too.
So my next question is whether or not cynicism and trust issues are emotional illnesses. I sort of think so. So if a person prayed for God to heal those issues, I believe that He could and would.
Let us pray.