Final answer:
A client with red pus around her nail after a nail service is likely experiencing a bacterial infection, which should be treated by a healthcare professional.
Step-by-step explanation:
If a client receives a nail service and the next week she has red pus around her nail, this is likely a sign of a bacterial infection. This type of infection can occur when the skin is broken during the nail service, allowing bacteria to enter and multiply. Given the symptoms you described, such as the redness, pus, and potential swelling, the client should seek medical attention to receive the appropriate treatment. A professional will typically clean the area effectively, perhaps drain any abscess that has formed, and may prescribe antibiotics to treat the infection. It is also important to ensure the client understands how to maintain proper nail hygiene and the potential risks associated with nail treatments.