Final answer:
Vaginal discharge with flagellated eukaryotic cells suggests trichomoniasis, treated with oral metronidazole or tinidazole, and sexual partners should also be treated.
Step-by-step explanation:
The microscopic examination of the vaginal discharge showing flagellated eukaryotic cells points to a condition known as trichomoniasis, which is a sexually transmitted infection (STI) caused by the protozoan Trichomonas vaginalis. The recommended treatment for trichomoniasis is either oral metronidazole or tinidazole. It is important that the patient's sexual partners are also treated to prevent re-infection. The diagnosis and treatment of vaginitis depend on identifying the specific causative agent through microscopic examination or culture of the vaginal discharge.