I had insert this code to get the description:

<?php
function display_author_info() {
$terms = wp_get_post_terms(get_the_ID(), 'author');
if (isset($terms[0]->name) && isset($terms[0]->description)) {
        ?>
        <h3 class="titre-aut">Auteur</h3>
        <?php
    }
    if (isset($terms[0]->name)) {
        ?>
        <h4 class="author-title"><?php echo esc_html($terms[0]->name); ?></h4>
        <?php
    }
if (isset($terms[0]->description)) {
?>
<p class="author-texte"><?php echo esc_html($terms[0]->description); ?></p>
        <?php
    }
}
?>

<?php display_author_info(); ?>

I used wp_kses_post() instead of esc_html() in: <p class="author-texte"><?php echo esc_html($terms[0]->description); ?></p>

It’s OK.