The way we read the Bible (with a sense of worthlessness) is the reason it is so hard to believe the stories told there in. "How could He love me" is the question instead of the statement, "Praize God He loves me!"
Your prayers are not filthy rags, with Christ they are turned into sweet smelling fragrance.
God did not go through hell, torture, and even death for "trash" no he did it because u are the most precious thing to Him in the entire universe, YES U. He traded His very own Son, He gave u what His Son deserved, and He gave His Son what u deserve.