You can use the pre_get_posts
action hook to set the order on your category archive like so:
add_action('pre_get_posts', 'filter_category_orderby');
function filter_category_orderby( $query ){
if( $query->is_category()){
$query->set('orderby', 'title');
}
}
just paste this snippet in your theme’s functions.php and you should be fine.