Bmrhett-

I can understand the inconvenience of having an alert on your text message app that is not going away. The icon that you have means there is a message in the thread that wasn't sent. You would need to scroll through the thread and find any messages in the thread with the icon so it can be resent or deleted. Ultimately, if you wish not to go through the entire thread, deleting the message thread may be the best option. I hope this information helps.

CarmenT_VZW