One option is to use the configurable Fn button ( it is near the top left of the camera ). You can set it to WB . I think the default is ISO.
You can set it under Menu -> custom settings -> f1. Assign fn button. Once you have set that , you can use it to change WB while taking pictures without having to go into any other menus or settings.
Let's try. First, some magenta cast is indeed "normal" when you use wide-gamut displays with non-colour-managed apps.
If your "need" is only sRGB (and Rec.709), then it would make sense to buy a "normal" (i.e. sRGB) monitor. This is particularly true if you edit video, because the output colour management for video is less ...