How to hide child categories from displaying

wp_list_cats is deprecated. You should switch to the “newer” version wp_list_categories which also supports some additional options. For example the depth option, which is probably what you’re looking for. See the WordPress codex for more information. 

wp_list_categories(array(
    'style' => 'none',
    'orderby' => 'name',
    'show_count' => true,
    'hierarchical' => true,
    'depth' => 1
));

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