So yes, you think Jesus is created. Why so much trouble saying that?
A nature is that which makes something what it is. A divine nature therefore has divine attributes. Attributes that are attributed only to God. Omniscience, omnipotence, omnipresence, self existent, eternal. This of course would of necessity include immortality--the impossibility of death.
Jesus had to have a divine nature even as Son of Man in order to survive death and conquer it. He also had to have a human body, mortal---able to die--- to offer as a ransom for the many. A divine nature cannot be imparted. Nothing in all creation can hold a divine nature or God would not be who he is. One cannot earn a divine nature.
Angels are not immortal---death is impossible--- but are mortal---able to die but not destined of necessity to die. After all, those who rebelled will meet a fiery end. Angels are creatures, created beings. They aren't even created in the image and likeness of God. They serve his purpose as we do, and we do not have the same purpose as that of angels. Angels are not divine.
Jesus did not become divine, he always was and is divine.
Peter in 2 Pet 1 did not say humans become divine in nature, but that the believer partakes of the divine nature through Christ. And the part of God's nature that is being addressed is contrasted with the human nature of fallen man and of this world vv 3-4 His divine power has granted to us all things that pertain to life and godliness, through the knowledge of him who called us to his own glory and excellence, by which he has granted to us his precious and very great promises, so that through them you may become partakers of the divine nature, having escaped from the corruption that is in the world because of sinful desire.
In Christ, and through the sanctifying work of the Holy Spirit, the believer now begins more and more to reflect the image of God with which he was created.