It could have several different meanings depending on the kanji
used. Yami means dark or darkness, but "shin" has many different
meanings, so the phrase could mean any of the following:
Dark Mind/Mind of Darkness
Dark Heart/Heart of Darkness
Dark God/God of the Dark/God of Darkness
Dark Forest
Dark Wood
New Darkness
Parent/Kinship of Darkness
True Darkness
Core of Darkness
Dark Water
Trust in Darkness/Faith in Darkness
Without context it's hard to determine which meaning is
meant.