What is the translation in English of the name Anita?

Anita is not a name of Japanese origin, it's actually a European name and is a diminutive for the name Anna, which was adopted from the name "Hannah" that was commonly used in the Byzantine Empire. The name "Hannah" comes from the Hebrew name "Channah" and has the meaning "favor" or "grace". Further verification of its significance outside of Japan is that the name is written in katakana as アニタ (anita), meaning it was introduced to Japan after Western exposure.