Tried 3 times last night
All 3 times right after I selected my character the windows crashed and I got a green screen of death
Last time I tried to play was 2 weeks ago and it worked fine then. Overwatch is the only game doing this to me
Such symptoms are signs of graphic card failures, however this guide is a great checklist for testing the most common issues:
Could it be related to this post? Latest Windows 10 Insider build (fast track) breaks Overwatch