Final answer:
The most effective way of delivering oxygen to a 3-year-old female with respiratory distress is a bag-valve mask.
Step-by-step explanation:
The most effective way of delivering oxygen to a 3-year-old female with respiratory distress is a bag-valve mask. A bag-valve mask is a device that is used to manually provide positive pressure ventilation to patients who are not breathing adequately or need assistance in breathing. This device can deliver high concentrations of oxygen and can be used in cases of respiratory distress, such as in this scenario. It is important to ensure proper technique and training when using a bag-valve mask to provide effective oxygenation and ventilation to the patient.