  In this work, we study the collapse dynamics of an inhomogeneous spherically
symmetric star made of dark matter (DM) and dark energy (DE). The dark matter
is taken in the form of a dust cloud while anisotropic fluid is chosen as the
candidate for dark energy. It is investigated how dark energy modifies the
collapsing process and is examined whether dark energy has any effect on the
Cosmic Censorship Conjecture. The collapsing star is assumed to be of finite
radius and the space time is divided into three distinct regions $\Sigma$ and
$V^{\pm}$, where $\Sigma$ represents the boundary of the star and
$V^{-}(V^{+})$ denotes the interior (exterior) of the star. The junction
conditions for matching $V^{\pm}$ over $\Sigma$ are specified. Role of Dark
energy in the formation of apparent horizon is studied and central singularity
is analyzed.
