When enabling Cloudflare while using IO Zoom nameservers, Cloudflare's benefits including protection and acceleration only work through CNAME to the www version of your website. If traffic goes to the root (non-www) domain and you want to accelerate and protect the traffic using Cloudflare, then you'll need to add a redirect to the www version of your site. If you don't redirect to www then any traffic to non-www version of your site will not be served by Cloudflare.
In order to take full advantage of Cloudflare you must add a redirect in the .htacess file to the www version of your websie. Here is an example:
RewriteEngine On
RewriteCond %{HTTP_HOST} ^mysite.com$ [NC]
RewriteCond %{SERVER_PORT} ^80$
RewriteRule ^(.*)$ http://www.mysite.com/$1 [R=301,L]`
Replace mysite.com with your domain website url