= Solution
The defining restriction is the reality condition
$$
\boxed{V^\dagger=V.}
$$
For a non-Abelian <gauge group>, write the <vector superfield> in a Hermitian generator basis with real <superfield> coefficients. This is a condition on the full <superfield>, not a chirality constraint. It relates conjugate component coefficients and makes the vector and $D$ <auxiliary field> real. <Wess-Zumino gauge> is a further <supergauge transformation> choice removing redundant components; it is not the defining condition for a <vector superfield>.
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