1, Use webmaster mode.
2. determine the template the link is in
3. delete or comment out the link.
hint: in file, /skin1/customer/menu_cart.tpl
find:
<a href="register.php?mode=delete" class="VertMenuItems">{$lng.lbl_delete_profile}</a><br />
But you really need to use webmaster mode and learn how to do this yourself, since if you need to ask the forum for EVERY minor edit, your store will never open.