Jesus provided physical healing as well as forgiveness of sins. Many bible verses mention the healing of our bodies along with the forgiveness of our sins.
Healing is an expression of God's love and compassion for our physical man. Healing miracles also draw men to God to get their spiritual needs met. Physical healing acts like a bell to get man's attention so that the Lord can minister to the inner man as well.
Healing has been purchased for us as part of the atonement of Christ. The Lord would no more refuse to heal us than He would refuse to forgive us. That does not mean that we deserve healing - we don't. It is a gift from God, just as salvation is a gift from God (Romans 6:23; Ephesians 2:8).
We don't deserve to have our sins forgiven. We cannot demand salvation from the Lord, but we can expect it. Also, healing has been purchased for us through the atonement of Christ. Healing belongs to us, but it is still the mercy of God that provides healing. Every act of healing is an act of mercy.