Trouble getting a Team to display

tealpete This looks like a frustrating issue!

One thing I would like to point out is that your terminology is not quite right when you are talking about "Team 'T'" and "Team 'E'". It would be more correct to call these "Organization 'T'" and "Organization 'E'". I only point this out because it will ensure a more efficient conversation if you do choose to contact Microsoft Support for assistance with this.

One workaround I would suggest would be to try signing in to Teams using the browser (at https://teams.microsoft.com) instead of using the desktop app. You may find it helpful to access one Organization using the app and another using the browser. You can even sign in to multiple organizations in the browser by opening them in different browser profiles (https://support.microsoft.com/en-us/topic/sign-in-and-create-multiple-profiles-in-microsoft-edge-df94e622-2061-49ae-ad1d-6f0e43ce6435).

Hope this helps!