  Since the Weak Cosmic Censorship Conjecture was proposed, research on this
conjecture has been ongoing. This paper explores the conjecture in black holes
that are closer to those existing in the real universe (i.e., rotating black
holes enveloped by dark matter). In this paper, we obtained a first-order
corrected analytical solution for the black hole event horizon through an
approximate solution. The validity of the first-order corrected analytical
solution will be provided in the appendix. We conduct our study by introducing
a test particle and a scalar field into the black hole. Our conclusions show
that, in extremal case, both a test particle and a scalar field can disrupt the
event horizon of the Kerr-like black hole; in near-extremal case, both a test
particle and a scalar field can disrupt the event horizon of the Kerr-like
black hole. When cold dark matter is not considered, the conclusion is
consistent with previous research.
