(1) Background: Hip fractures are currently recognized as major public health problems, raising many issues in terms of both patients’ quality of life and the cost associated with caring for this type of fracture. Many authors debate whether to operate as soon as possible or to postpone surgery until the patient is stable. The purpose of this review was to review the literature and obtain additional information about the moment of surgery, the time to surgery, length of hospital stay, and how all of these factors influence patient mortality and complications. (2) Methods: The systematic search was conducted according to the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) and PICO guidelines, using the Google Scholar platform, for articles published between 2015 and 2023. Quality assessment was performed. (3) Results: After applying the inclusion criteria, 20 articles were included in the final list. Those who had surgery within 48 h had lower in-hospital and 30-day mortality rates than those who operated within 24 h. The American Society of Anesthesiologists (ASA) score is an important predictive factor for surgical delay, length of hospital stay (LOS), complications, and mortality. (4) Conclusions: Performing surgery in the first 48 h after admission is beneficial to patients after medical stabilization. Avoidance of delayed surgery will improve postoperative complications, LOS, and mortality.