Because Kindle is technically a competitor, we cannot assist you to modify or side load content on their device, because the device may not have the required settings for proper application functionality. However, if someone wanted to side load Blio, they could do so by making sure non market apps can be installed from the android settings > Applications menu. A file browser is also needed. ES File explorer is a good one that is available in the amazon market.
This is the file that you will need to open on the device
After you install the app, you should see it on the app menu.
How to side load using Kindle Fire