Time sensitive, what is it waiting for?

Roysrun wrote:

try to send a photo via message it will say, time sensitive not sent.

It would be better if you can please re-post with a screenshot, in order to understand the phenomenon better. Images/pictures speak louder than words. 

Please understand this is a public forum: While attaching a Screenshot, do not provide any personal credentials, such as IP address, Card detail, email id, apple id, IMEI number, Serial Number, Phone number, Order ID, if you are sharing a map ensure your location is not identifiable, etc.

With the limited information that you have provided, It is hard to even guess the problems faced by you. 

You may get faster and better responses to your query by --> Writing an effective Apple Support Commun… - Apple ...

Please re-post with detail so that someone else can help.

As far as I understand the "time-sensitive" is for Notifications.

Go to Settings > Focus. · Select the Focus, then tap Apps under Allowed Notifications. · Turn on/off Time Sensitive Notifications.

Use Focus on your iPhone or iPad - Apple Support (IN)