  Recently, Fernandes discovered an analytic solution for rotating black holes
in semiclassical gravity induced by the trace anomaly. These solutions exhibit
some distinctive characteristics, including a non-spherically symmetric event
horizon and violations of the Kerr bound. As a crucial assumption to uphold
causality in spacetime, we investigate the validity of the weak cosmic
censorship conjecture (WCCC) within this class of solutions with type-A trace
anomaly by introducing a test particle on the equatorial plane. Our study
reveals three distinct mechanisms that can potentially destroy the event
horizon, leading to a violation of the WCCC. Our findings indicate that, with
the exception of extremal Kerr, static extremal, and static singular black
holes, the WCCC may be violated under the first-order perturbation of the test
particle. These results suggest the need for further exploration of
modifications to the behavior of the test particle under quantum effects in
order to address the violation of the WCCC in this system.
