There is kinda a tricksie way to delete the staple links with the Admin Panel. I made a tutorial about it a while back on MyAdopts here:
http://www.myadopts.com/forum/showthread.php?tid=3634
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I'm not sure how MySidia handles the deleting, so it may not work, but go ahead and give it a try. Though, seeing as you cannot even delete the links you make, perhaps this is a more recent bug from the new release?