Dear Susan,
Good day!! Thanks for posting your concern in this Microsoft Community.
Per the description shared, I would like to summarize your concern i.e., you are using the Wrap Text feature in the Publisher where it doesn’t work as expected.
If my understanding is correct, I have tested the behavior in the latest version of Semi-Annual enterprise channel, where when I insert the Picture into the Text box and selected the inserted picture to select the Square as a Text wrap, it works perfectly, and I also tested the behavior by selecting other options in the Text wrap and I didn’t find any issue.
So, I would like you to open a new blank Publisher file and follow the below steps:
Open the new Publisher file> Draw a text box> Insert a picture into the Text box> Select the Picture> Picture Format> Wrap text and select the Square> Now at the top of the image in the Text box, please enter the text and see whether the Text is entering around without moving the image.
Moreover, can you please provide the Account page of Publisher? Open the Publisher> Account> Take a screenshot and share it with us
Thanks for your understanding and patience.
Sincerely,
Mia | Microsoft Moderator