Their website also says UW. That surprised me as well. I didn't know another UW existed at all.

University of Wyoming is known as "UW" as well.

University of (Washington, Wyoming, Wisconsin, Waterloo)

Or University of Waterloo

Who cares? Why does this matter at all? Are you seriously that confused over the abbreviation?

When referring to Washington, it's pronounced "Yoo-dub".

When referring to Wyoming, it's pronounced "Uhhwh"