Exclude latest post from WP_Query taxonomy term loop

wp_query has the offset parameter which you can use to skip posts, e.g.

$args = array(
 'post_type' => 'video',
 'tax_query' => array(
  array(
   'taxonomy' => 'tax-video',
   'field'    => 'slug',
   'terms'    => 't-o-t-w',
  ),
 ),
 'posts_per_page' => '8',
 'offset' => 1, // excludes the first post in the query
);

you may just be over thinking this