Our spirit (true self) can be our consciousness. That is the ideal.
But for most of us, the spirit is already asleep and has been that way for a very long time. The spirit sleeps before we were born and continues to sleep past our death, unless through Christ we wake it up and allow it to assume the viewpoint of the "self." Even many Christians remain asleep to the spirit. I dare say most of them remain asleep, spiritually. That troubles me.
What most of us think of as consciousness is ego. This is the sense of entitlement to be right. This is the "self" which is vulnerable. This is the self which is bruised when someone else points out our mistakes.
The true self (child of God, within) is invulnerable. Assuming this viewpoint makes turning the other cheek natural, because the spiritual self can never be hurt. Turning the other cheek is another way of saying, "wake up!" Assume the viewpoint where you don't need to react to a slap, or to anything else that would otherwise cause ego to hold resentment.
This is the viewpoint where forgiveness is complete erasure of the ball-and-chain which would bind others to resentment. Forgiveness is forgetting and letting go cleanly and completely. Only spirit can do that.