You can fix this by changing this in two places in qa-external-users-wp.php:
htmlspecialchars($relative_url_prefix.'user/'.urlencode($publicusername))
... to ...
qa_path_html('user/'.$publicusername)
Using Q2A's qa_path_html(...) function automatically builds the relative URL as appropriate.
This fix will be rolled in Q2A 1.6.3, also in the example qa-external-users.php file.