That's a beautiful word with Latin roots that are related in meaning to "dwell". To me, it has no feeling of transcendence. Rather, something that is "immanent" is naturally present within rather than being external. For example, you could say that the idea of "democracy" is immanent in a nation's founding principles.
I searched for words having Germanic rather than Latin roots having the same meaning. For some reason, I often prefer Germanic words to Latin ones. The words I found were "inborn" and "innate", and I do prefer them to "immanent". "Immanent" sounds showy, and is likely to be confused with the unrelated word "eminent".