I was texting someone who has an Android phone and noticed the crescent moon icon next to their name in my threads. I turned off the "Do Not Disturb" option but I'm concerned that they may have texted me back and I didn't get it.
Ignore the reply above, DND is not the same as blocking. The only thing that'll happen is that you won't get a notification, i.e. you won't get disturbed. The text will still arrive and be visible in the app, you just won't hear it coming in.