GMAT Sentence Correction (SC) | The Luquiens believed that everything had both a physical

The Luquiens believed that everything had both a physical dimension and a spiritual dimension, and many Luquiens claimed to havecommunication with it directly through a psychedelic awakening.
(A) communication with it directly through
(B) direct communication with it by way of
(C) communication with the latter directly through
(D) direct communication with the latter by means of
(E) communication directly with the spiritual level due to

I'm confused between C and D
can't find reason to eliminate