Final answer:
The term that best means the inflammation of veins of the uterus is phlebitis, which specifically refers to vein inflammation.
Step-by-step explanation:
If -itis means inflammation, the term that could best mean that veins of the uterus are inflamed is phlebitis. The suffix -itis indicates inflammation, and when we specify the inflammation of veins, we use the term phlebitis. The uterus is a female reproductive organ, and veins related to it can become inflamed due to various conditions such as pelvic inflammatory disease or varicosities. While urethritis refers to inflammation of the urethra and hysteritis to inflammation of the uterus broadly, phlebitis specifies inflammation of the veins themselves. Venitis is not a commonly used medical term.