  We investigate superfluid properties and strong-coupling effects in a
one-component Fermi gas with an anisotropic p-wave interaction. Within the
framework of the Gaussian fluctuation theory, we determine the superfluid
transition temperature $T_{\rm c}$, as well as the temperature $T_0$ at which
the phase transition from the $p_x$-wave pairing state to the $p_x+ip_y$-wave
state occurs below $T_{\rm c}$. We also show that while the anisotropy of the
p-wave interaction enhances $T_{\rm c}$ in the strong-coupling regime, it
suppresses $T_0$.
