  Let $f$ be a meromorphic function with simply connected domain
$G\subset\mathbb{C}$, and let $\Gamma\subset\mathbb{C}$ be a smooth Jordan
curve. We call a component of $f^{-1}(\Gamma)$ in $G$ a
$\Gamma$-$pseudo$-$lemniscate$ of $f$. In this note we give criteria for a
smooth Jordan curve $\mathcal{S}$ in $G$ (with bounded face $D$) to be a
psuedo-lemniscate of $f$ in terms of the number of preimages (counted with
multiplicity) which a given $w$ has under $f$ in $D$, as $w$ ranges over the
Riemann sphere. We also develop a test, in the same terms, by which one may
show that the image of a Jordan curve under $f$ is not a Jordan curve.
