To do that, you will probably need to leave the discord voice channel to get some privacy.
Leaving A Voice Channel
Leaving a voice channel on Discord is pretty straightforward.
Take a look at the bottom left of your screen, above your username and profile picture. You will see an icon of an old-school earphone and an X next to it. This will immediately disconnect you from the voice channel.
But before you go, don’t forget to say goodbye!
An alternative method is to just completely close the application. Exiting Discord disconnects you from any voice channels you’ve joined.
Keep in mind, pressing the X button on the top-right screen does not exit the application. It only minimizes it to the tray icon.
So, instead, open the hidden tray icons, right-click the Discord icon and click Quit Discord. Simple!