First of all make sure you save the animation to the same directory as where you store the HTML files of your web site.
1) To insert your animation in MS Publisher, you need to use its HTML Code Fragment object, which
is located on the Publisher "Insert" menu.
2) Then draw the object on your page just like you do for a standard text box.
3) Make sure that if your SWF animation is, say, around 300x300 pixels, the created box is about the same size.
4) After you added the fragment object to the page you insert the HTML code. You can copy this code to your clipboard in the Amara Software application.
5) Paste the HTML code into the dialog by using CTRL + V (paste command).
That's all.
If this somehow fails, it might be that you did not have the correct filename of the SWF file in your HTML code, or that you did not put the SWF file in the correct directory. This is a very small problem but it means that the SWF file can't be found until you get the path to the file right, so please check this.