Visual Studio Online (cloud based TFS): Making Visual Studio 2010 allow Logging in with Different Credentials

On one project I work on the client asked me to change Visual Studio Online (VSOL) username (email address) to a different email address. VSOL was being used for source code control in a project developed with Visual Studio 2010. Seemed pretty simple to change credentials but there is a bug in Visual Studio 2010 that complicates this process.

From Visual Studio 2010's Team menu select Connect to Team Foundation Server which seems to offer a way to sign out:

Hitting "Sign Out' does nothing.

The solution is to close the Connect to Team Project dialog. From the View menu select Other Windows | Web Browser. In the web browser navigate to http://msdn.microsoft.com:

Sign out from MSDN which is logged in with your previous VSOL account.

From Visual Studio 2010's Team menu select Connect to Team Foundation Server which seems to offer a way to sign out. It actually does this time: 

This time when you sign out, Visual Studio will sign the account out of Visual Studio Online and prompt a user to enter new credentials:

It is not possible to sign in with the updated Visual Studio Online credentials.