score:0

The problem looks like to be in the regexp \w not matching accentuated letters.

You could either:

score:1

In your regular expression, \w doesn't match characters with accents (diacritics). See Concrete Javascript Regex for Accented Characters (Diacritics)

You can replace your regular expression \w with [A-Za-z脌-脰脴-枚酶-每]

// we have to iterate backwards...
$($('.schedule-show').get().reverse()).each(function(i, div){
	let time = $(div).find('[data-timezone="et"]')
  let nextTime = $(div).find('+ .schedule-show [data-timezone="et"]')
  if(nextTime[0]){
  	// check if they dates match
    if(nextTime.text().match(/\d+ \w+/)[0] === time.text().match(/\d+ \w+/)[0]){
      // "white out" the dates that match
    	nextTime.html(nextTime.text().replace(/(\d+ [A-Za-z脌-脰脴-枚酶-每]+)/, "<font color=\"white\">$1</font>"))
    }
  }
})
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/3.3.1/jquery.min.js"></script>
<div class="schedule-wrapper" id="js-schedule" data-timezone="et">         /* The value of data-timezone attribute changes on button click from the Screenshot below */ 

   <!-- List of button start -->
   <div class="schedule-action-bar">
      <div class="schedule-timezone-filter">
         Select your timezone:            
         <ul id="js-timezone-picker">
            <li>
               <button id="js-time-et" class="" data-timezone="et">ET</button>
            </li>
         </ul>
      </div>
    </div>
    <!-- List of button end -->

    <div class="schedule-show">
        <div class="schedule-show-time">
             
               <time datetime="03:45 01-08-2019" data-timezone="et">1 ao没t  03:45</time>           /* When timezone is eastern standard time */
        </div>
    </div>
    <div class="schedule-show">
        <div class="schedule-show-time">
               <time datetime="03:45 01-08-2019" data-timezone="et">1 ao没t  03:45</time>           /* When timezone is eastern standard time */
        </div>
    </div>
    <div class="schedule-show">
        <div class="schedule-show-time">
               <time datetime="03:45 01-08-2019" data-timezone="et">1 ao没t    03:45</time>           /* When timezone is eastern standard time */
        </div>
    </div>
    <div class="schedule-show">
        <div class="schedule-show-time">
               <time datetime="03:45 01-08-2019" data-timezone="et">1 ao没t    03:45</time>           /* When timezone is eastern standard time */
        </div>
    </div>
    <div class="schedule-show">
        <div class="schedule-show-time">
               <time datetime="03:45 01-08-2019" data-timezone="et">1 ao没t    03:45</time>           /* When timezone is eastern standard time */
        </div>
    </div>
    <!-- .schedule-show -->
    <div class="schedule-show">
        <div class="schedule-show-time">
               <time datetime="03:45 02-08-2019" data-timezone="et">2 ao没t    03:45</time>           /* When timezone is eastern standard time */
        </div>
    </div>
    <div class="schedule-show">
        <div class="schedule-show-time">
               <time datetime="03:45 02-08-2019" data-timezone="et">2 ao没t    03:45</time>           /* When timezone is eastern standard time */
        </div>
    </div>
    <div class="schedule-show">
        <div class="schedule-show-time">
               <time datetime="03:45 02-08-2019" data-timezone="et">2 ao没t    03:45</time>           /* When timezone is eastern standard time */
        </div>
    </div>
    <div class="schedule-show">
        <div class="schedule-show-time">
               <time datetime="03:45 02-08-2019" data-timezone="et">2 ao没t    03:45</time>           /* When timezone is eastern standard time */
        </div>
    </div>
    <!-- .schedule-show -->
    <div class="schedule-show">
        <div class="schedule-show-time">
              <time datetime="05:00 02-08-2019" data-timezone="et">2 ao没t    05:00</time>            /* When timezone is eastern standard time */
        </div>
    </div>
   <!-- .schedule-show -->

</div>


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