It is shown that an ensemble of complex pseudo-Hermitian (2×2)matrices with three independent elements drawn from a Gaussian random population can admit the level-spacing distribution P(x) =Πx ⁄ 2 −πx2/4(Wigner surmise) despite the breaking of time-reversal-invariance. Notably, the Wigner surmise is known to be exact for an ensemble of Gaussian-random 2×2 real-symmetric matrices. Thus, the connection between the symmetry possessed by a Hamiltonian and the degree of level repulsion becomes non-unique