Hi @upasana keswani ,
What error did you receive when failed deleting emails? Have you tried performing the same operation in OWA and verify the result again?
1.If you can successfully delete the emails through OWA, the issue may related to the outlook client.
We could try opening outlook with safe mode which disables add-ins
Right-click the Start button, and click Run. Type Outlook.exe /safe, and click OK.
Or configure a new profile for the account and update the outlook client to the later version.
2.If OWA not work as well. We could check the configuration of the shared mailbox with below command like the official document introduces, and try removing the permission and re-adding it again.
Get-MailboxPermission <MailboxIdentity> | where {$_.AccessRights -like 'Full*'} | Format-Table User,Deny,IsInherited,AccessRights -Auto
You may also check if there is any mailbox folder permission configured on the shared mailbox which may limit deletion for the delegator. Get-MailboxFolderPermission
3.If the operations above not help, try creating a new shared mailbox and test again to check whether the issue still exist.
If an Answer is helpful, please click "Accept Answer" and upvote it.
Note: Please follow the steps in our documentation to enable e-mail notifications if you want to receive the related email notification for this thread.