Step 1: Recall the characteristics of the given microorganisms.
\[
\begin{aligned}
\textit{Mycoplasma} &\rightarrow \text{Free-living bacterium without a cell wall},
\textit{Escherichia\ coli} &\rightarrow \text{Free-living bacterium},
\textit{Bacillus\ subtilis} &\rightarrow \text{Free-living bacterium},
\textit{Chlamydia} &\rightarrow \text{Obligate intracellular bacterium}.
\end{aligned}
\]
Step 2: Identify the obligate intracellular organism.
Chlamydia can grow and reproduce only inside living host cells.
Hence,
\[
\boxed{\textit{Chlamydia}}
\]
is the correct answer.
Therefore,
\[
\boxed{(B)}
\]
is the correct answer.