Thank you for posting your query in the Microsoft Community.
From what I understand you are unable to sign out of your account because you're not seeing your name on the toolbar. You should be able to log out of your account using the instructions given by
kathleencollins. It is possible that you are unable to see this in your toolbar because of a corrupted file in your browser. You can refer to the link provided by
SimonPeter_T on how to optimize the browser that you are using and let us know the results.
We also recommend that you keep your web browsers up to date to get the most out of Outlook.com. If you’re not using an updated browser, some parts of Outlook.com might not work and it might not display properly. You can visit the article below for more
information about the best browsers for Outlook.com: