If you are "partaking of the divine nature"' then you are by extension divine or a god. You are what your nature is. We particpate in the divine nature through knowledge / Gnosis as per 2 Peter 1:3
His divine power has given us everything we need for a godly life through our knowledge of him who called us by his own glory and goodness. 4 Through these he has given us his very great and precious promises, so that through them you may participate in the divine nature, having escaped the corruption in the world caused by evil desires.
My take on this:
I see the divine nature from a prophetic pov, as something we take on occasionally for short periods of time. As when a prophet is prophesying. Or when a person is operating in any of the other gifts of the Holy Spirit. For a short while, we are infused with the Spirit of God, and can minister to others on His behalf.
These times have a remarkable way of changing us. We see a "better" way to live. And if we pursue this lifestyle, we change. However, I am and always will be simply myself. *I* am not God.
When looking at divine creatures, I see the same principles apply. Angels are simply messengers of God. What does this mean? Are they themselves also perfect, as He is perfect? No. I believe the awesome divine nature we sometimes see in angels (as has been recorded about them) is also a temporary condition as God infuses them with His anointing to carry the message to us. This is also why it is so difficult not to fall on our feet and worship them. We sense the authority of our God, and mistake the messenger for the Author.
Angels in their ordinary state however, do not carry the weight of such glory. They may still be dazzling creatures, some being more beautiful than others, but they are just ordinary individuals not all that different from Man. Created by God, and learning still at His feet.
The trick I've learned, is to listen carefully for His Voice. It is when we get distracted by the messenger that we loose our way. We can't afford to forsake the task of following God in favor of hanging out with the last angel that brought His message to us!
This is a major problem for people when it comes to listening to the human messengers. We often have an awesome experience at Church, where God speaks to us mightily; but then we exchange the glory of God's presence for the instructions of Man. The very same people who carried God's Voice to us once, are now telling us to do things that displease Him. But I do not see this as a fault of the messengers, but rather a test from God to see if we will put any other gods before Him.