If you want to keep the social icons, but change the text, it is image editing job. You open the image file back-socialize-icons.png from the eDegree theme images folder and start editing it to suit your needs.
If you want to remember the whole thing, the social icons, etc. you just remove the following code from the sidebar.php file:
<div id="socialize-icons">
<ul>
<?php if(strtolower(get_option('tbf2_icon_facebook')) !='hide'):?>
<li id="icon-facebook"><a href="<?php echo (get_option('tbf2_icon_facebook')) ? get_option('tbf2_icon_facebook') : '#'?>" rel="nofollow" target="_blank">facebook</a></li>
<?php endif; ?>
<?php if(strtolower(get_option('tbf2_icon_twitter')) !='hide'):?>
<li id="icon-twitter"><a href="<?php echo (get_option('tbf2_icon_twitter')) ? get_option('tbf2_icon_twitter') : '#'?>" rel="nofollow" target="_blank">twitter</a></li>
<?php endif; ?>
<?php if(strtolower(get_option('tbf2_icon_rss')) !='hide'):?>
<li id="icon-rss"><a href="<?php echo (get_option('tbf2_icon_rss')) ? get_option('tbf2_icon_rss') : bloginfo('rss2_url')?>">RSS Feed</a></li>
<?php endif; ?>
<?php if(strtolower(get_option('tbf2_icon_youtube')) !='hide'):?>
<li id="icon-youtube"><a href="<?php echo (get_option('tbf2_icon_youtube')) ? get_option('tbf2_icon_youtube') : '#'?>" rel="nofollow" target="_blank">YouTube</a></li>
<?php endif; ?>
</ul>
</div>
It should be just that easy.