Background and Objectives. In emergency departments, chest pain is a common concern, highlighting the critical importance of distinguishing between acute coronary syndrome and other potential causes. Our research aimed to introduce and implement the HEAR score, specifically, in remote emergency outposts in Bosnia and Herzegovina. Materials and Methods. This follow-up study conducted a retrospective analysis of a prospective cohort consisting of patients who were admitted to the remote emergency medicine outposts in Canton Sarajevo and Zenica from 1 November to 31 December 2023. Results. This study comprised 103 (12.9%) patients with low-risk HEAR scores and 338 (83.8%) with high-risk HEAR scores, primarily female (221, 56.9%), with a mean age of 63.5 ± 11.2). Patients with low-risk HEAR scores were significantly younger (50.5 ± 15.6 vs. 65.9 ± 12.1), had fewer smokers (p < 0.05), and exhibited a lower incidence of cardiovascular risk factors compared to those with high-risk HEAR scores. Low-risk HEAR score for prediction of AMI had a sensitivity of 97.1% (95% CI 89.9–99.6%); specificity of 27.3% (95% CI 22.8–32.1%); PPV of 19.82% (95% CI 18.67–21.03%), and NPV of 98.08% (95% CI 92.80–99.51%). Within 30 days of the admission to the emergency department outpost, out of all 441 patients, 100 (22.7%) were diagnosed with MACE, with AMI 69 (15.6%), 3 deaths (0.7%), 6 (1.4%) had a CABG, and 22 (4.9%) underwent PCI. A low-risk HEAR score had a sensitivity of 97.0% (95% CI 91.7–99.4%) and specificity of 27.3% (95% CI 22.8–32.1%); PPV of 25.5% (95% CI 25.59–28.37%); NPV of 97.14% (95% CI 91.68–99.06%) for 30-day MACE. Conclusions. In conclusion, the outcomes of this study align with existing research, underscoring the effectiveness of the HEAR score in risk stratification for patients with chest pain. In practical terms, the implementation of the HEAR score in clinical decision-making processes holds significant promise.