What is the name of person who does not drink wine?

There isn't a specific, commonly used name for a person who doesn't drink wine. You could use terms like:

* Non-wine drinker: This is the most straightforward and accurate description.

* Abstainer: This refers to someone who refrains from drinking alcohol altogether.

* Teetotaler: This term is used for someone who doesn't drink any alcohol, including wine.

* Wine-free: This is a more casual and playful way to describe someone who doesn't drink wine.

Ultimately, the best way to describe someone who doesn't drink wine depends on the context and your personal preference.