Inserting Read More Tag in Widget

It’s pretty easy.

Usually your widget is supposed to be held on sidebar.php
In sidebar.php you may have been call the function the_content() to extract ‘About Me’ text.

In stead of calling the_content() you need to call your own created function [suppose, read_more()] which should be defined in functions.php like this way:

function read_more($limit){
    $post_content = explode(' ', get_the_content());
    $less_content = array_slice($post_content,0, $limit);
    echo implode(' ', $less_content);
}

Now, mentioning an argument, call the read_more()function in anywhere you need, perhaps in sidebar.php
Note that, first, needs to make Query and then call the function this way:

<?php
    $content_text = new WP_Query(array('post_type' => 'text'));
      while($content_text->have_post()) : $content_text->the_post();
?>
       <p> <?php read_more(15); ?> </p> 
       <p> <a href="https://wordpress.stackexchange.com/questions/266851/<?php the_permalink(); ?>"> Read More </a> </p>
<?php endwhile; ?>

where, integer value indicates 15 number of words to be shown up there.

That’s it.