Interesting idea but I pose this question. Aside from Pokémon what makes you think that a god of time would not inhabit a realm with other deities. It is well established that particularly powerful and/or troublesome deities do dwell outside the divine HQ of that particular cultural pantheon (Loki being perhaps the best known example). But that not withstanding I would be interested to find out what has lead you to think as you do.
The Totality. Different verses have deities that operate under different rules from each other. For example, the Cthulhu Mythos where Yog-Sothoth is locked outside of our reality and must be summoned or traveled to.