W. Va. Code § 8-11-2

The fact that an ordinance vests in the governing body or some other body or officer a discretion to do, or refuse to do, a given thing, shall not invalidate such ordinance when it would be impracticable to lay down by ordinance for all cases a uniform guide for exercising such discretion. This section shall not be construed to mean that a delegation of discretion in any other case shall necessarily invalidate an ordinance. However, if, in any case, a delegated discretion is exercised in an arbitrary or discriminatory manner, such ordinance, as so applied, shall be unlawful and void.