you can wipe out the content in showthread_send_thread template of the theme
admin panel >> Templates & Style >> templates >> your theme templates >>
Show Thread Templates >> showthread_send_thread
Edit: however it is a facility to send link of the thread. content of entire thread is not sent through mail
Do I just delete the file?
I guess I should ask do I just delete the code?
<li class="sendthread"><a href="sendthread.php?tid={$tid}">{$lang->send_thread}</a></li>
^ yes, you can delete that code
You also need to remove sendthread.php as you said, otherwise people will still be able to enter it.