As i stated in the issue request, i think this is an issue with the self signed ssl-cert, as i found at least one other guy having the same problem (http://lists.qt.nokia.com/public/qt-...ay/002556.html).
Solving this (or accessing your tinytiny instance on plain http?) the http auth should be easily managable by adding username and password to all the XMLHttpRequest.open statements in tinytinyrss.js.