Which letter is the seventh letter to the left of the letter which is the ninth letter to the right of the English alphabet's fifth letter?
$$\text{A B C D E F G H I J K L M N O P Q R S T U V W X Y Z}$$

Let's follow the steps systematically from the standard alphabet series:
1. Find the $5^{\text{th}}$ letter from the left: $\text{E}$.
2. Move $9$ positions to its right:

$$\text{Position}=5+9=14(\text{Letter N})$$

3. Find the $7^{\text{th}}$ letter to the left of this letter ($\text{N}$):

$$\text{Position}=14-7=7(\text{Letter G})$$

Therefore, the required letter is $\text{G}$.