The soul is the immaterial part of us. Just like we need a body, so we need a soul. While any discussion about the soul falls into metaphysics, anything such as our minds and wills which are immaterial are found in the soul. So, a soul is an integral part of who we are. The Bible refers to God as having a soul in a few passages. However, because God is spirit and is not made up of multiple parts, He does not have an actual soul in the way that we do. Instead, just like how the Bible refers to God having body parts to help us to better understand God, it refers to Him having a soul for the same reason. Known as anthropomorphic language, God spoke using simple language so that we could understand the incomprehensible God in some small way. While God does not have a soul, His Son, Jesus, does. Though fully God, He added on humanity (Philippians 2:7) becoming like us (Hebrews 2:17). In His humanity, Jesus has a soul (Matthew 26:38). Because of this, He can sympathize with us in our weakness (Hebrews 4:15) and is the perfect example of how we are to live righteously within our very being.
Gratefully, God revealed Himself to us using language that we can understand. Because of His great kindness in doing that, we can know Him and enter into a relationship with Him. Though we will never understand how God can be truly One, we do understand that He loves and deeply desires. In human language, we can say that He feels within His soul. We should praise Him for graciously speaking down to us so that we can look up to Him.
We also learn about how we are to feel in our soul. Because we all sin (Romans 3:8–10), all our emotions are tainted with sin. However, God made us in His image (Genesis 1:26–27), which means we were originally given a soul for the purpose of showing His goodness to the rest of creation. As believers, when we live, we should strive to do so in a way that our mind and will are as in-line with God as possible (see, for example, Romans 12:1–2).
Since Jesus added on full humanity, including a perfect soul, we can look to His example of how we are to righteously feel, think, and do. When He was about to die, Jesus asked that His Father remove the “cup” (the crucifixion) if there was any way possible to do it. Jesus felt deep sorrow in His soul at the coming pain and wrath of God He was to bear. However, He willingly and humbly submitted His desire to the Father’s desire, saying “not my will, but Yours be done” (Luke 22:42). In so doing, He showed us how we are to be entirely submitted to God in the very core of what makes us, us.