$\text{A, B, C}$ and $\text{D}$ are playing a game of Carrom. $\text{A, C}$ and $\text{B, D}$ are partners. $\text{D}$ is to the left of $\text{C}$ who is facing east. Then $\text{D}$ is facing:

Step 1: In a standard Carrom arrangement, four players sit on four sides facing inwards towards the center of the board. Partners sit opposite to each other.
* Since $\text{A, C}$ are partners, $\text{A}$ is opposite to $\text{C}$.
* Since $\text{B, D}$ are partners, $\text{B}$ is opposite to $\text{D}$.

Step 2: Use the direction of $\text{C}$.

* $\text{C}$ is facing East. This means $\text{C}$ must be sitting on the West side of the board.

Step 3: Determine $\text{D}$ 's position.

* Someone facing East has their Left pointing towards the North.
* The problem states "$\text{D}$ is to the left of $\text{C}$ ". Therefore, $\text{D}$ is situated at the North side of the board.

Step 4: Determine the direction $\text{D}$ is facing.

* Since $\text{D}$ sits on the North side and looks inwards towards the center, $\text{D}$ is facing South.