If you no longer need or want a primary account on Outlook 2010, there are a few simple steps you can take to remove it. ..
From the drop-down menu, choose Accounts, and then Email Accounts. Remove Outlook accounts in Account Settings (Email tab). Start with secondary accounts and work your way down to the primary account last. You may remove them by selecting an account and then clicking Remove.
Select File > Account Settings > Account Settings, then choose the account you’d want to use as the default. Select Set As Default from the drop-down menu and then Close.
To delete an account, go to the Settings page and click Manage connections. Select Delete from the drop-down menu under Manage your linked accounts.
To delete an Exchange account, go to the Control Panel (classic) or Mail applet and remove all of the Exchange accounts from the profile, working your way up to the primary account last. You’ll need to add a PST file to the profile and make it the preferred data file before restarting Outlook. Close Outlook and return on to Control.
Tap Delete Account from Device and Remote to remove it. Select Remove Account from Device and Remote in the Settings app.