In your child themes function.php file, add the following code.

/**
 * Add the product's short description (excerpt) to the WooCommerce shop/category pages. The description displays after the product's name, but before the product's price.
 *
 * Ref: https://gist.github.com/om4james/9883140
 *
 * Put this snippet into a child theme's functions.php file
 */
function woocommerce_after_shop_loop_item_title_short_description() {
	global $product;

	if ( ! $product->post->post_excerpt ) return;
	?>
	

		post->post_excerpt ) ?>
	
	
}
add_action('woocommerce_after_shop_loop_item_title', 'woocommerce_after_shop_loop_item_title_short_description', 5);

Reference: https://gist.github.com/om4james/9883140