The answer of Avinash was very helpfull. The only thing was missing was the urlParams. I have updated his code, hope this helps!
Page 1:
<a href="page2.html?q=feedback"> Request Feedback</a>
Page 2:
<select name="subject" id="subject">
   <option value="feedback">Feedback</option>
   <option value="comment">Comment</option>
   <option value="question">Questions</option>
</select>
<script>
      const queryString = window.location.search;
      const urlParams = new URLSearchParams(queryString);
      const q = urlParams.get('q')
      function getParameterByName(name, url) {
        if (!url) url = window.location.href;
        name = name.replace(/[\[\]]/g, '\\$&');
        var regex = new RegExp('[?&]' + name + '(=([^&#]*)|&|#|$)'),
            results = regex.exec(url);
        if (!results) return null;
        if (!results[2]) return '';
        return decodeURIComponent(results[2].replace(/\+/g, ' '));
      }
      //This is for default value of the select
      if (q) {
        document.getElementById("subject").value = q; 
      }
</script>