'Theist' and 'deist' already describe different kinds of belief. If you believe that the universe couldn't have come from nothing by natural causes, and in fact had a divine spark, you're a deist. If you think that the divine spark has a name and personality and meddles around in human affairs, you're a theist.

I know discussing downvotes is out of fashion, but damn, I just wrote out the definitions. https://www.dictionary.com/compare-words/deism-vs-theism