To completely uninstall Speedy follow this steps:
1. Quit Speedy if it's running.
Note: whether Speedy should be not visible, search for "Activity Monitor" in Spotlight, open Activity Monitor app, go in the Memory pane, double click on the Speedy in the app list, then click on "Quit" button.
2. Hold the Option key and use the “Go” menu in the Finder to Show Library.
3. Delete this file if it is present:
~/Library/Preferences/com.apimac.SpeedyMac.plist
4. Delete this folder if it is present:
~/Library/Preferences/App Support/Apimac/Speedy
Finally delete the application (usually the app is located in the Applications folder).