  In this paper, we explore the photon region and the shadow of the rotating
counterpart of a static charged Weyl black hole, which has been previously
discussed according to null and time-like geodesics. The rotating black hole
shows strong sensitivity to the electric charge and the spin parameter, and its
shadow changes from being oblate to being sharp by increasing in the spin
parameter. Comparing the calculated vertical angular diameter of the shadow
with that of M87*, we found that the latter may possess about $10^36$ protons
as its source of electric charge, if it is a rotating charged Weyl black hole.
A complete derivation of the ergosphere and the static limit is also presented.
