You can certainly install the Amazon App Store app on the emulator. First go to the settings and allow installation of apps from unknown sources, then open the browser and download this app. This will download the app store .apk, which you can then install.
However, if you are planning to download and run Angry Birds (or other games), on the emulator, you will probably find it is too slow unless you have a very fast PC. It might work OK for less demanding apps.
Also, beware that at the moment Amazon only permits US users to download apps (see How can I get apps from the Amazon app store from an unsupported region?).