This thread is resolved. Here is a description of the problem and solution.
Problem: With browser redirection turned on, the website is loaded correctly according to the browser's language then redirects again to the site's primary language.
Solution: This is a known issue on versions of WPML prior to 3.5.2. Upgrade to our latest version and the issue will go away.
This is the technical support forum for WPML - the multilingual WordPress plugin.
Everyone can read, but only WPML clients can post here. WPML team is replying on the forum 6 days per week, 22 hours per day.