If application (Edge browser) using hardware acceleration then try to disable it in program settings.
If application is Metro app (UWP/Store application) then you cannot capture it with current build of OBS Studio by 'Game Capture' or 'Window Capture' sources.
With hardware acceleration disabled you can capture Chrome window, for example. Also, most known are FireFox and Opera browsers. If you need only the Edge, then try 'Display Capture' source and cut unneded parts by the cropping.