The gapped quantum paramagnet DTN has been the focus of intense study in recent years in the context of the z=2 quantum critical point (QCP) in applied fields (Bose-Einstein condensation of magnons) and the z=2 QCP in the presence of disorder. Here we propose to study the so-far unexplored Ising (z=1) criticality expected when the applied magnetic field is not along the symmetry direction. The effect of disorder is expected to differ starkly between the z=2 and z=1 cases. Long-range order is expected in the pure material and short-range history-dependent order in bond-disordered DTN.