We propose a heterogeneous all-dielectric photonic molecule comprising a Mie nano-resonator (MNR) and a photonic crystal nanocavity (PCNC), forming a strongly coupled system. The coupling mechanism is rigorously analyzed using coupled mode theory, unveiling key optical phenomena, including Fano resonance, mode splitting, and Rabi oscillation. By precisely tuning the spatial position of the MNR relative to the PCNC and the structural parameters of the MNR, we achieve modulation of near-field mode interactions and far-field radiation. Performance evaluation reveals highly directional radiation and tunable spectral properties, facilitating efficient light manipulation at the nanoscale. This study establishes a versatile platform for advancing quantum optics, integrated photonics, and optical antennas, with promising applications in high-purity quantum light sources, ultra-sensitive sensing, and low-threshold nano laser.