<!DOCTYPE html>
<html>

<head>
  <style>
    nav {font-size:35vw; transform:translateX(-60px)}
  </style>
</head>

<body>
  
  <figure>
    <figcaption>Click the word "Console" on the frame below.</figcaption>
    <nav>&darr;</nav>
  </figure>
  <script>
    /* 
    || This is to simulate the iframe being dynamically inserted into the DOM.
    || This is not required for OP (Original Post) specific circumstance.
    */
    document.body.insertAdjacentHTML('afterbegin', `<iframe src='test2.html'></iframe>`);
    
    /* BEGINNING OF REQUIRED CODE */
    /*
    || Register the body to the click event
    || function extractValue() is the event handler called when body is clicked.
    */
    document.body.addEventListener('click', extractValue);
    
    /* Event Handler */
    /*
    || Reference the Document Object inside iframe
    || Reference the form tag inside Document Object of iframe
    || Reference all radio buttons name='gender' in the form tag
    || Reference the selected radio button
    || Log the selected radio button's value
    */
    function extractValue(e) {
      var xFrame = window.frames[0];
      var xForm = xFrame.forms[0];
      var xRads = xForm.elements['gender'];
      var selected = xRads.checked;
      console.log(selected.value);
    }
  </script>
</body>

</html>
<!DOCTYPE html>
<html>

<head></head>

<body>
  <form action="/text1.php" method="POST">
    <input type="radio" name="gender" value="male"> Male
    <br>
    <input type="radio" name="gender" value="female"> Female
    <br>
    <input type="radio" name="gender" value="other"> Other
    <br>
    <input type="submit">
  </form>

</body>

</html>