The production of stoichiometric hydroxyapatite (HAp) from animal by-products such as bovine femur represents a sustainable and innovative alternative, as it enables the utilization of raw materials that would otherwise be discarded. In the biomedical field, HAp is a highly relevant bioceramic, particularly for bone regeneration, due to its excellent biocompatibility, osteoinductive properties, and structural similarity to the mineral component of human bones. However, its high cost limits its application in certain cases. For this reason, the objective of this study was to synthesize stoichiometric hydroxyapatite from biogenic sources using hydrothermal methods, evaluating the production process, its characterization, and the preparation of bone cement. The study showed an average yield of 4.1% by weight, which could increase up to 8.5% under ideal conditions when the raw material is free of organic matter. Although this yield is higher than that reported in other studies, it remains relatively low, limiting its viability on a small scale. X-ray fluorescence (XRF) analysis revealed Ca and P contents of 40.02% and 15.43%, respectively, with a Ca/P ratio of 2.59—higher than values typically reported in the literature—suggesting an excess of calcium in the final product. To evaluate the quality of the material, bone cement was prepared and subjected to compressive strength tests at intervals of 1, 3, 7, 11, and 28 days. The tests showed a maximum compressive strength of 537.78 kPa, significantly below the minimum required for biomedical applications. These results highlight the need to optimize the synthesis and processing of HAp to improve its feasibility for future applications.