Which method of oxygen administration will be best to increase mrs. d's o2 sat level?

The right answer is non rebreather.

A non-rebreather mask (NRB) is mainly used to provide oxygen to treat hypoxia, in which arterial blood oxygen saturation is less than 90 percent.

Non-rebreather masks offer an increased level of moisture towards the nasal passage, which can become inflamed and irritated with prolonged oxygen treatment. Increased humidity also increases the patient's respiratory secretions.