This Twitter widget works unlike many out there at the moment, but not being able to set a title is sad. Here's how remove the default text and add in a title that matches your theme.
<div class="tweets_header">Mini <a href="http://minitwitter.webdevdesigner.com">Tweets</a></div>
and delete it.
<?php echo '<div class="tweets">
and paste this right above it
<?php echo $before_title. 'Your Text' . $after_title; ?>
That should let you change the title.
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