To control who's able to reply to your story:
Tap
or your profile picture in the bottom right to go to your profile.
Tap
in the top right.
Below How others can interact with you, tap Messages and story replies.
- Tap Story replies, then select who can reply to your stories.
Keep in mind that your story disappears from Feed, your profile and Direct after 24 hours unless you add it
as a highlight. After that, photos and videos from a person's story will no longer be visible in conversations. Any text that was included with a message will still be visible after the photo or video disappears.