Yes, Moxicip (moxifloxacin) is an appropriate and highly effective antibiotic eye drop for bacterial conjunctivitis, which fits your daughter?s symptoms of redness, swelling, and discharge. The fact that her severe symptoms have reduced to mild irritation in just two days indicates the medicine is working well. It is absolutely crucial to complete the full five-day course as prescribed. Stopping the drops early can cause the infection to return and become resistant to the antibiotic. Please continue the treatment, practice good hand hygiene, and consult her doctor if she experiences worsening pain, vision changes, or if symptoms persist after day five.