The energy levels of odd-odd nucleus Y-84 at low spins were calculated by u
sing the axially symmetric particles plus rotor model. In order to study th
e statistical properties of the energy levels, the two standard tests of Ra
ndom-Matrix Theory such as the nearest-neighbor level spacings and the spec
tral rigidity were adopted. It is shown that the chaotic degree of the ener
gy levels initially increases with increasing spin and reaches a maximum ar
ound I=10, and then decreases for spins above I approximate to 10. On the o
ther hand, the proton-neutron interaction makes the energy levels slightly
regular/ordered. However, the Coriolis force which makes the energy levels
chaotic plays a major role in the spectral structure of the odd-odd nucleus
Y-84.