Final answer:
The nail technician should remove the artificial nails and treat the natural nails.
Step-by-step explanation:
To address Kay's nail problem, the nail technician should remove the artificial nails and treat the natural nails. Moisture trapped between the natural and artificial nails can lead to an infection, which seems to be the case here. Treating the natural nails involves cleaning and disinfecting the affected area, and providing appropriate care to promote healing.