  Given a continuum $X$, let $\mathcal{NB} (\mathcal{F}_1(X))$ be the
hyperspace of nonblockers of $\mathcal{F}_1(X)$. In this paper, we show that if
$X$ is hereditarily decomposable with the property of Kelley such that
$\mathcal{NB} (\mathcal{F}_1(X))$ is a continuum, then $X$ is a simple closed
curve. Thus, we characterize the simple closed curve as the unique hereditarily
decomposable continuum with the property of Kelley $X$ such that its hyperspace
$\mathcal{NB} (\mathcal{F}_1(X))$ is a continuum.
