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Thank you for posting your question in Microsoft Q&A.
To better address your issue, could you provide additional information for the following questions:
Could you confirm whether this issue started recently, or if it has been ongoing for an extended period?
Additionally, were any configuration changes made around the time the issue began?
Does this behavior occur when sending bulk emails, individual messages, or both?
In the meantime, you could try to detect this via Insights in the Exchange admin center:
This insight reports mail flow rules that may impact your organization's mail flow. The Fix slow mail flow rules insight in the Insights dashboard in the new Exchange admin center (new EAC) will notify you when a mail flow rule is taking too long to complete. You can use this notification to help identify and fine‑tune mail flow rules to reduce delays.
You can refer via: Fix slow mail flow rules insight in the new EAC in Exchange Online | Microsoft Learn
You can also check the headers on delayed emails. Review the “Received” header chain from both the sender and recipient mailboxes. This helps pinpoint where the delay occurred and whether the message was held up within Microsoft’s transport system. If you need more details on how to check message headers, feel free to check on this Microsoft Article here.
Additionally, you can use the Message Header Analyzer to simplify the process and get a clear breakdown of the message’s routing path.
Please understand that our initial reply may not always immediately resolve the issue. However, with your help and more detailed information, we can work together to find a solution.
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