Widget Only works when logged in

I have created this sidebar text widget and I can only see it when logged in. I have other widgets that work fine. When I log out as admin the widget disappears.

<div class="weeklyauthor">
<table style="text-align: center; width: 100%;" border="0" cellpadding="2" cellspacing="2">
  <tbody>
    <tr>
      <td><center><strong>Author of the Week<br>Author Name</strong></center></td>
</tr>
<tr>
<td>
<center><a href="http://mydomain.com/" target="_self"><img src="http://mydomain.com/pic.jpg" border="0" alt="Name" height="225" width="225" /></a></center>
</td>
    </tr>
    <tr>
      <td>
<center><a href="http://mydomain.com" target="_self"><img src="http://mydomain.com/pic.jpg" alt="Speak Now" height="225" width="225" /></a></center>
</td>
    </tr>
  </tbody>
</table>
</div>