The "Azimuth and Distance" plugin does not appear to be maintained any longer, and has not been transitioned to the new QGIS 2.0 plugin repository. What are the current options for entering COGO in QGIS? Does the roadmap include these tools, or is this something that will still depend on a plugin?
Azimuth and Distance has since been ported to QGIS 2.0. The version of the plugin you need is 0.9.0 or later.
I've had good luck using the m.cogo tool in GRASS. It's a clunky work around because it just takes in input of properly formatted COGO calls and outputs a series of coordinates. You have to play "connect the dots" in order to get the shape you were trying to COGO, but it does work.