Colossians 2:2
2 That their hearts might be comforted, being knit together in love, and unto all riches of the full assurance of understanding, to the acknowledgement of the mystery of God, and of the Father, and of Christ;
Psalms 147:3
3 He healeth the broken in heart, And bindeth up their wounds.
There is this picture of someone handing Jesus a broken heart and saying it is all they have to give him. He kindly takes the pieces and tell them that it is all he wants from them. You see, it has become a trend of sinners, thinking they need to fix themselves before they come to God. He wants you as you are. He knows your heart is broken, and he is the only one who can fix it. He can put every piece back in place. He will be the glue that holds it together. He does not ignore the broken-hearted. He wants to help them and fix them. So, pick up all the pieces of your heart and hand them to Jesus.