a better way would be to add a div around the module, and use a classname for that div. YOu can do that from moduleSettings, using the Header and the Footer. THe header would look something like this:
<div class="MyLinksModule">
the footer would look like this:
</div>
Next, using CSS, you can target the hyperlinks inside that div using its classname
FYI, this will be solved in the next version of the links module (version 4.0.0 was submitted to the release tracker yesterday)