A 24-year-old woman attends a family planning clinic with complaints of mucopurulent cervical discharge and lower abdominal pain for 2 weeks. Cervical swab nucleic acid amplification test (NAAT) is positive for *Chlamydia trachomatis* but negative for *Neisseria gonorrhoeae*. She is not pregnant and has no drug allergies. What is the most appropriate next step in management?