On a Zeuthen-type problem

We show that every degree $d$ meromorphic function on a smooth connected projective curve $C\subset {\mathbb{P}}^2$ of degree $d>4$ is isomorphic to a linear projection from a point $p\in {\mathbb{P}}^2\setminus C$ to $\mathbb P^1$. We then pose a Zeuthen-type problem for calculating the plane Hurwitz numbers.