Edit how links widget displays

Hi. I would like to change how my links are displayed. As it is now, the links are displayed as an unordered list. I use an image for a link so I really don’t want a bullet to be displayed before the image. However, I still want the bullet to appear before everything else (pages, etc).

My links are displayed using the links widget. I’ve figured out how to remove the bullets altogether but that’s not what I want to do. I just want to remove them for the links.

Any help would be most appreciated. Thanks!