MOV is Apple's homebody: gorgeous on a Mac, awkward everywhere else. It was born in 1991, Apple's QuickTime team, and its real weak spot is traveling: Windows, Android and the web would all rather meet an MP4.
WMA is Windows' old house band: big in the early 2000s, mostly retired now. Windows Media Audio, in several variants including a rarely-sighted lossless one. That makes it the right destination when what you need is keeping aging Windows Media software and old archives happy.