Problem with API

I have several blogs hosted on wordpress.org. Recently I created a new blog through CPANEL under my own domain name, http://www.professionalchristianity.com. When I attempted to activate a plugin which required an API, I couldn’t find what it is. I have an API for my WordPress-hosted blog, everydaychristianity.wordpress.org, and it is displayed on my profile page. However, this one isn’t being accepted for the non-Wordpress hosted blog. On its profile page there is no API displayed.

What do I do?

Thanks.