I only see "Delivered" on fairly recent text messages in my lists. I do see "Delivered" at the time I send them, unless the recipients phone is powered off, but after a few days the message does not show it. So as long as the text message you sent is not in the last few days it is probably safe to delete yours.
Update: I don't think you will see "Delivered" to a non-iPhone. I just sent a text to a non-iPhone, heard the woosh of delivery, do not see the "Delivered" notice, deleted my text and the recipient was still able to reply to me.
Last edited by Ira L; 09/26/20 05:41 PM. Reason: Update
On a Mac since 1984.
Currently: 24" M1 iMac, M2 Pro Mac mini with 27" BenQ monitor, M2 Macbook Air, MacOS 14.x; iPhones, iPods (yes, still) and iPads.
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