I tried using CloudFlare for my site, but they (or their CA partner) wouldn't issue a certificate for my domain (piranhas.co) because it contains the substring “iran”. Seriously[0].
[0]: https://twitter.com/matiaskorhonen/status/561063104596172800
[0]: https://twitter.com/matiaskorhonen/status/561063104596172800
Your particular request should have been handled in less than 24 hours (or shorter, if non-free plan). The process for some of them is more manual than we'd like, but a support request can be filed to expedite if this happens again.
- CloudFlare's PM for TLS
Each CA has their procedures but most look at data sources like the Alexa Top 1000, and specific requests from high value targets like Microsoft, Google, etc. In some cases, e.g., Microsoft, the CAs must actually reach out to specific contacts at those firms before they can issue. In other cases, they manually review and release to us.