in your templates folder open homepage.tpl and look for this part
PHP Code:
<td><div align="center"><a href="affiliates.php"><img src="templates/{$template}/images/affiliates.png" border="0" alt="" /></a></div></td>
<td><strong><a href="affiliates.php">{$LANG.affiliatestitle}</a></strong><br />
{$LANG.affiliatesdescription}</td>
you can comment out that section but warning if you comment out that section you need to put something it its place or it will look funky on the page, the next cell over is the order icon and links.
Both are on the same row so if you take out the affiliate you will have a blank space there. Even putting
HTML Code:
<td><div align="center"> </div></td>
<td> </td>
It will still leave you with a dead space.
What i would do is if you have something else to put in there then put it there, if not just do somthinglike this.
comment out or remove the original one and put this in its place.
HTML Code:
<td><div align="center"><img src="templates/{$template}/images/affiliates.png" border="0" alt="" /></div></td>
<td><strong>{$LANG.affiliatestitle}</a></strong><br />
We Currently Do Not Offer Any Affiliate Partnership</td>
That way you keep the integrity of the space and just remove the liinks and put in a description that you dont have a aff program.
hope that helps.