read the sentence right above that: "We will establish a secure connection from the cloud to the site owner on your behalf for page requests of sites using SSL (e.g. https://example.com)." that means that the SSL is terminated at amazon's servers, they see it in plaintext, then they send it via SPDY (re-encrypted) to your device. so it is always secure over the wire, but is plaintext readable by amazon. if you are worried about what someone on the wire can see, you are good. if you are worried about what amazon can see, you're not.