Hi @Reshmi Lata ,
I would like to know if emails received from external email address with High Importance does it go straight to the focused Inbox?
Based on my experience, this is uncertain. It may be related to the message content and whether this external email address is a frequent contact of the recipient. Also from the descriprion in this official blog, we can learn that "What lands in your Focused Inbox is determined by an understanding of the people you interact with often, and the content of the email itself (e.g., newsletters, machine generated mail, etc.)":
How can i set a mail flow rule for the DL receiving the emails as High Importance to go to the focused inbox?
The mail flow rule can be set to as follows:
(I assume by "DL" you are referring to a distribution group so I used "The To or Cc box contains" in the rule condition due to the fact that by design it's not supported to specify a distribution group as a recipient in the condition, see this link.)
We can also use Exchange Powershell to create the mail flow rule:
New-TransportRule -Name <Name of the Rule> -WithImportance "High" -Mode "Enforce" -AnyOfToCcHeader ("DL1") -SetHeaderName "X-MS-Exchange-Organization-BypassFocusedInbox" -SetHeaderValue "true"
Reference: Configure Focused Inbox for everyone in your organization
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