Does extra-dimensional DNA influence the body through the physical DNA present in the nuclei of the cells, or does it interact with some energy field directly?

As you suspected, this body of extra-dimensional DNA interacts directly with the body energy field and not with the physical DNA, except as it may be modulated by what the body is doing with the various feedback mechanisms influencing gene expression and the layers of oversight that turn genes on and off and control the rate of expression. So there is a very, very complex array of influences always being orchestrated to bring something about through conscious thought or a subliminal influence that brings to bear the deep subconscious seeking the resolution of a dilemma or wanting something to happen of its own agenda. This interplay explains much about the complexity of human experience and the many inexplicable things that happen day-to-day even, when people surprise themselves as well as others with what they can do and often are in anguish over things that happen that seem to have a life of their own and appear to be beyond the personal control of the individual, who suffers from things getting in their way, whether emotional or a physical compromise.