Another possibility is, God is able to mess with our world without us noticing. I asked a question on askscience IF low probability positions in quantum wave function can cause drastic changes (like if all particles in a solar system being positioned in very specific can move a planet to a specific location) AND if a god or a similar entity can influence these positions in a way indistinguishable from possible (although a real low possibility) behavior of these particles to influence the universe, before it got spammed by angry atheists getting angry about me using the word "god" I got some good answers, long story short, it is a possibility, in fact with the way particles work a lot of spooky things may happen although they have reaaaaal low probability (like super super low) like an entire basketball disappearing from your hand. It would be an extraordinary event but it would still be a "natural" event.

So if there is a God, it may be influencing reality in a way indistinguishable from the way reality is.