Did you know you could mute Instagram Stories of specific users? All you need to do is head to the top of your Feed, tap and hold the profile picture of the person or brand Stories that you’d want to mute. From there you can select Mute [username]’s Story. The Stories you’ve muted will appear at the end of the Instagram Stories bar and won’t have a color ring around it to indicate an update. These stories won’t also play if you watch a sequence of Instagram Stories. If you change your mind, you can unmute the account by repeating the steps above and just select Unmute [username]’s Story.
Source: Instagram