Federated Learning (FL) is rapidly emerging as a transformative paradigm for machine learning in the healthcare sector, enabling multiple institutions to collaboratively train a shared model without centralizing their sensitive patient data. This approach addresses the critical challenges of data privacy, security, and governance that have historically hindered large-scale medical research. However, the standard FL framework is not immune to sophisticated privacy attacks that can infer sensitive information from model updates. This chapter provides a comprehensive exploration of FL with a strong emphasis on integrating robust privacy-preserving mechanisms for healthcare data analytics. We begin by introducing the fundamental principles of federated learning and discussing the unique challenges posed by decentralized healthcare data, including statistical heterogeneity (non-IID data), system heterogeneity, and communication bottlenecks. We then conduct a thorough literature review of existing privacy-preserving techniques, such as differential privacy (DP), secure aggregation, and homomorphic encryption, identifying their strengths, limitations, and the gaps in their application to healthcare. Subsequently, we propose a detailed methodology for a privacy-preserving federated learning (PPFL) pipeline, complete with a client-server architecture, secure communication protocols, and an implementation of differentially private stochastic gradient descent (DP-SGD). The chapter presents an extensive Results and Discussion section, simulating the proposed methodology on the MIMIC-III dataset to analyze the trade-offs between model performance, privacy guarantees, and system costs. Our findings demonstrate that while privacy mechanisms introduce a slight overhead and a marginal reduction in model accuracy, they provide quantifiable privacy guarantees essential for clinical applications. The chapter concludes by summarizing the key insights and outlining future research directions for developing more efficient, secure, and scalable PPFL frameworks for the next generation of healthcare analytics.