Do you know if you have the latest Intel HAXM drivers installed? That step usually gets missed by folks. =) I did a walkthrough on our Amazon Developer Blog you may find helpful here: http://developer.amazon.com/post/TxHLJ1TU9TX9N6/Harness-the-Speed-and-Power-of-the-New-Kindle-Fire-HD-Emulators-with-Amazon-AVD.html
There is also a known issue with Mavericks and the HAXM driver that requires a hotfix. Here is a direct link to the latest HAXM driver and the hotfix for Mavericks and Windows 8.1: http://software.intel.com/en-us/articles/intel-hardware-accelerated-execution-manager/
As long as you have the Intel HAXM driver and latest hotfix (and assuming the required hardware) you should be able to run both the Amazon AVD Launcher and Android Emulators using GPU Host and Intel x86 support.
Thanks,
Dave