Hi @Johanna März,
Based on your sharing, this is highly a Keychain / Office credential cache issue. Office for Mac can repeatedly ask you to sign in when it cannot properly access or save credentials in the macOS Keychain. Therefore, in this case, I highly recommend restoring Office Keychain access first:
- First, quit all Microsoft 365 apps
- Press Command + Space to open Spotlight > search for Keychain Access and open it.
- In the top-left area, select the "login" keychain.
- From the menu bar, select File > Lock Keychain “login”.
- Open Word again. When macOS asks for permission to access the Keychain, enter your Mac administrator password and choose OK.
- If Word asks you to sign in, sign in with the university/student Microsoft 365 account that has the Word license.
- After Word opens successfully, quit Word completely, then open it again to check whether it stays signed in.
Please try the steps and let me know if it works. If not, please notify me and we can work together to solve the situation.
If you have any questions or need any further clarification, please leave a comment here and I will be happy to continue to help you.
Thank you for your patience and understanding. I'm looking forward to your reply.
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