Can I see my logo displayed exactly as it is in Microsoft Word when converted to Adobe PDF?

The Fade look from Word is because the header/footer is not active, while typing in main body. When Printed it will be  the same look for body/header/footer.

1. You can get that faded look but you will have to edit logo image file.
2. Choose Format > Picture.
3. Double click on it to bring up Format menu and the top item you can change transparency.
4. Adjust for desired look, then get out of the format menu.
5. and print a test page.
6. If you see desired look then create your PDF

You should be able to see the effect in WORD by doing a print preview. I could not see the lines you are talking about (may need to zoom in to get the point across). It may be an issue of using the Std job settings that reduce graphics to a lower resolution in many cases. You might try the press or print job settings.

Here is a Movie explaining what I am talking about: Adjust Transparency

I used a Template I've created (a Letterhead) previously so I blurred out my address.