@oristarA,
In light of issues of such a nebulous nature as theology, your paraphrase is on the mark.
"Process," refers to biological evolution, and is an example of God's immanence, because, "he makes things make themselves," according to Peacocke.
"Display," "example," "manifestation" and other words can be used to describe what he's saying, unless one wants to split hairs, as it were.