Q: Moon icon in iMessage

try to reset settings:

on your iphone go to settings>generals>restore>restore settings,it should works,let me know:)

I have been trying to figure this out for WEEKS!!! Finally got an answer to it. It is something you turned on accidentally. When you open that persons messages click DETAILS in the top right of your screen and in the middle of the details area there should be an option that says Do Not Disturb. You cannot see this in your settings. Only on the details of that persons messages. It makes the notifications from this person silenced. May come in handy for some people BUT super dumb when you dont mean for it to be on. Im just glad I FINALLY found out how to make it go away haha

HOPE THIS HELPS!!! <3

Thank you for the solution.  It worked well...perfectly, intact. 

Very good answer, thank you beccab00

becca you are a star...this was driving me crazy for the past few days..all fixed now because of you..thank you!

I have the moon, too. I've checked every device to be sure that the Do Not Disturb is turned off. It is. But still every message shows this moon.

Read beccab00's solution above.

Nearly two years since you took the time to make this post you are still helping people!  Thank you!!!