Perhaps because I have "pseudo-deism" as my Basic Belief I feel obligated to address this topic! Or rather, to address some of the EASIEST parts.
First, discard any notion of
Time as intrinsic to the universe or its creation. The Universe does not exist in Space; Space is just useful in describing our universe. Treat Time the same. If some "Deity" created our universe, he did it all-at-once in a realm beyond our concept of time.
Do not focus on The Big Bang or what came "before it." For decades, "Big Bang" was just short-hand for "Our models cannot shed light on the first fraction of a second", but cosmologists are now starting to move beyond that. Did the universe "begin" in a singularity? Or is it some sort of endless cycle? It is fascinating that cosmologists may finally be able to guess answers to these questions, but I'm not sure it affects our notions of Creation or Deism.
The claim that the universe could not have arisen out of nothing is also confused. The claim that the Law of Conservation of Mass-Energy prevents this may be irrelevant. But interestingly, it might be refuted by the concept of
Zero-energy universe developed by Richard Feynman and others.
During World War II, Pascual Jordan first suggested that since the positive energy of a star's mass and the negative energy of its gravitational field together may have zero total energy, conservation of energy would not prevent a star being created by a quantum transition of the vacuum. George Gamow recounted putting this idea to Albert Einstein: "Einstein stopped in his tracks and, since we were crossing a street, several cars had to stop to avoid running us down"
But even if we decide that we are just part of a multiverse, or some multitude of multiverses, that just pushes the problem back a level.
The premier mystery of physics -- so mysterious that it is usually completely ignored! -- is Time's Arrow. Why do the past and present affect the future, but not vice versa? Or DOES the future exert some cause-effect influence over the past and present? Mystery. To paraphrase the woman who thought the universe rested on the back of an elephant, it's mysteries all the way down.
So: Can or should we believe in a Deity who can guide our spirit? Is there a Plan? Was Leibniz right after all?
I have no answers to these questions. I post just to reject some of the superficial arguments.