This script will email you any tweet which you have marked as a favourite then it unfavourites it. There are 2 prerequisites; http://www.gabfirethemes.com/create-twitter-api-key/ and https://github.com/abraham/twitteroauth

tweetFavtoEmail.php

<?php 

  require('libraries/twitteroauth.php');
  $conkey = '';
  $consec = '';
  $acctok = '';
  $acctks = '';

  $twitter = new TwitterOAuth($conkey, $consec, $acctok, $acctks);
  $tweets  = $twitter->get('https://api.twitter.com/1.1/favorites/list.json?screen_name=yourscreenname');

  if (sizeof($tweets) > 0) {

    foreach ($tweets as $tweet) {
      $screenName = $tweet->user->screen_name;
      $userName   = $tweet->user->name;
      $tweetMsg   = $tweet->text;
      $tweetID    = $tweet->id_str;

      $emailTitle = "Tweet from $userName (@$screenName)";
      $emailMSG   = wordwrap($tweetMsg, 70, "\r\n");       

      $status = mail('emailrecipientgoeshere', $emailTitle, $emailMSG);

      if ($status) {
        $unfav = $twitter->post('https://api.twitter.com/1.1/favorites/destroy.json?id='.$tweetID);
      }
    }
  }

?>