The dispersion relation of a fast wave in a thermal (minority) hydroge
n-deuterium plasma is investigated near the ion cyclotron frequency of
hydrogen. It is found that the plasma shield for waves between the tw
o-ion hybrid resonance and the minority fundamental resonance may be r
educed by the thermal effects of plasma. By using zero Larmor radius a
pproximations, the condition for cutoff layer vanishing due to the the
rmal effects of plasma is obtained analytically. The formula derived i
s compared with the numerical results from the full thermal-plasma dis
persion relation, and excellent agreement is found. The results show t
hat the cutoff layer may disappear in practical minority hydrogen-deut
erium heating experiments.