Rydberg atomic receivers (RARs) leverage the quantum coherence of highly excited atoms to overcome the intrinsic physical limitations of conventional radio frequency receivers (RFRs), particularly in sensitivity, and bandwidth. This innovative technology represents a paradigm shift in wireless communication systems. This paper systematically explains the fundamental sensing mechanisms of RARs, contrasts their differences from RFRs in working principles and architectures. We explore their advantages in emerging wireless communication scenarios, such as integrated sensing and communications, quantum Rydberg radar, and quantum space communications. Practical challenges, such as limited instantaneous bandwidth and nonlinear distortion, are identified. To address these issues, mitigation strategies and future research directions are also outlined, supporting the advancement of RAR-aided wireless systems.