We investigate the superfluid phases of a single component Fermi gas in a 3D free space.By weakly exciting atoms to a far detuned Rydberg state, the inter-atom interaction can be induced and manipulated to be finite-ranged and attractive, leading to a stable p-wave superfluid pairing with Tc ～ 0.1E_F in a typical parameter regime.Moreover, three distinct pairing phases, breakingorbital SO (3) symmetry, can be found at zero temperature: a polar phase, a planar phase, and a mixed phase with different orbital symmetries.These unconventional properties share similar features to the 3He system, and indicate a new candidate for experimentally realizing the topological quantum orders.