Have you set up a notification? YES
Is it for a post or a custom post type? It’s for a post.
How are you publishing your post? Is it via a plugin or via the WordPress admin? Post is published regular via the WordPress admin?
Have you tried installing the Email Log plugin to see if your email notification is being sent out successfully? Just install “Email Log” by Sudar and there is no data
Have you checked your SPAM folder? Spam folder is empty