  Zeeman effect induced by the magnetic field introduces a splitting between
the two valleys at K$^+$ and K$^-$ points of the Brillouin zone in monolayer
semiconducting transition metal dichalcogenides. In consequence, the
photoluminescence signal exhibits a field dependent degree of circular
polarization. We present a comprehensive study of this effect in the case of a
trion in monolayer MoTe$_2$, showing that although time integrated data allows
us to deduce a g-factor of the trion state, such an analysis cannot be
substantiated by the timescales revealed in the time-resolved experiments.
