An 81-year-old female reports that her eye has been watering more frequently over the past month; you decide to administer the primary Jones dye test (Jones I). After 5 minutes, the application of a cotton-tipped applicator to the inferior turbinate reveals the presence of dye in the area. Taking this into consideration, what is the MOST likely cause of the patient's epiphora complaint?
A. Complete nasolacrimal duct obstruction
B. Dysfunction of the valve of Hasner
C. Punctal stenosis
D. Hypersecretion of tears