Step 1: Recall the proton-pumping complexes.
In the mitochondrial electron transport chain,
\[
\begin{aligned}
\text{Complex I} &\rightarrow \text{Pumps protons},
\text{Complex II} &\rightarrow \text{Does not pump protons},
\text{Complex III} &\rightarrow \text{Pumps protons},
\text{Complex IV} &\rightarrow \text{Pumps protons}.
\end{aligned}
\]
Step 2: Identify the correct complex.
Complex II (Succinate dehydrogenase) transfers electrons from succinate to ubiquinone but does not contribute to the proton gradient.
Hence,
\[
\boxed{\text{Complex II}}
\]
is the correct answer.
Therefore,
\[
\boxed{(B)}
\]
is the correct answer.