Why wouldn't it be appropriate to examine what God has created in order to learn about Him?
Of course it is entirely appropriate to examine what God has created in order to learn about Him. That’s a wonderful way to appreciate His character!
Consider Romans 1:20: “For his invisible attributes, namely, his eternal power and divine nature, have been clearly perceived, ever since the creation of the world, in the things that have been made.”
It’s subtle, what I’m saying. We can get insight into who God is by examining His creation. We can use the scientific process to examine His creation. But we are unable to use the scientific process with God Himself, as He is Spirit.