BuddyPress.org

I am confused by what you are asking. You have password protected a post but then you want it to show up in the site activity and on the regular blog posts listing. This is just not how this WP feature works.

You choose the “Password Protect This Post” option to make a given blog post private. This means that only people with the correct password can see the post, can read it.

What exactly are you trying to accomplish?