Find the missing character?

B
D
E
G

The missing character is $\boxed{\text{E}}$.

The sequence is a simple alternating repetition of the letters $\text{A}$, $\text{B}$, $\text{C}$, $\text{D}$, and $\text{E}$. The first letter is $\text{A}$, the second letter is $\text{B}$, the third letter is $\text{C}$, the fourth letter is $\text{D}$, and the fifth letter is $\text{E}$. The sixth letter is $\text{A}$, the seventh letter is $\text{B}$, and so on.

The missing letter is the fifth letter in the sequence, which is $\text{E}$.