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Many calendars on the UT Health Science Center campus are departmental shared calendars.
Typically, what happens is someone in the department requests to create the calendar and they are the owner, at least initially.
If you want to be added to a departmental calendar, you need to determine its owner first. You can ask work colleagues or call the Service Desk (901.448.2222), which may be able to identify the owner.
Once the owner is determined, the owner can right-click on the departmental calendar in Outlook and browse Sharing Permissions to add new people.
If the owner prefers to do this online, they can log in to https://portal.office.com and click the Outlook icon. They'd click the circle in the upper right-hand corner under the profile pic and select Open another Mailbox. They can then search for and find the departmental account.
After selecting the departmental account, they can go to My Calendars, click the ... next to the calendar, and go to Sharing Permissions. They can then add the individual requesting access.