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Abstract Generally a black hole could be over-charged/spun, violating the weak cosmic censorship conjecture (WCCC) for linear order accretion while the same is always restored for non-linear accretion. The only exception, however, is that of a five-dimensional rotating black hole with single rotation, which cannot be overspun even at linear order. In this paper we investigate this question for a five-dimensional charged rotating minimally gauged supergravity black hole and show that it could not be overspun under non-linear accretion, thereby respecting WCCC. However, in the case of single rotation WCCC is also respected for linear accretion when the angular momentum of the accreting particle is greater than its charge irrespective of the relative dominance of the charge and rotation parameters of the black hole.