Single-photon sources have a wide range of applications in fields such as quantum computing and quantum communications. These applications require single-photon sources to possess both high emission directionality and a high Purcell factor. However, currently, there is no satisfactory solution that can meet both of these characteristics. Here, we present a novel hybrid plasmonic nanoantenna that addresses this challenge. The hybrid nanoantenna comprises a bullseye antenna with a double bowtie antenna placed at its center. This design enables the simultaneous achievement of high directionality and a high Purcell factor. Specifically, the Purcell factor can reach up to 10,000, and the emitted photons are predominantly concentrated in the 0° direction in the far-field emission pattern. To characterize the hybrid nanoantenna and investigate the influence of its dimensions on directionality and Purcell factor, we conducted Finite-Difference Time-Domain (FDTD) simulations. The results demonstrate promising findings for enhancing the performance of plasmonic antennas. Moreover, this platform holds potential for the development of efficient single-photon sources, thereby facilitating advancements in photonic integrated circuits and quantum devices.