To follow my previous about an issue with SharePoint Designer when accessing a SharePoint site published with UAG (http://blog.hametbenoit.info/2011/01/07/sharepoint-uag-issue-with-sharepoint-designer-when-accessing-sharepoint-site-through-uag/) here is an update.
To avoid the error ‘The server could not complete your request’, you have to disable the smuggling protection located on the Web Server Security tab on the application property