@kingfoot That adapter you found on Amazon won't work, that is a mini PCIe to m.2 adapter.
The WiFi module looks like the correct one, should work.
You could try this adapter:
http://www.addonics.com/products/adm2e-m2m.php
In theory it should work. The only issue might be the height of those connectors. You might struggle to get the cover back on.
The reason I didn't try that one is that the shipping to the UK was stupid expensive, plus i was concerned about the height. I guess for you the local shipping should be reasonable, so it might be worth a try.
Honestly though, I would keep searching for the one I recommend in the guide, it's got a lower profile, so it just about fits, with a slight bulge!