You can auto-send emails based on triggers like new files, new form responses, SharePoint updates, calendar events, etc.

Automate an Outlook Email

• Go to Power Automate. Click Create → choose a trigger type:
• Add a Trigger: When a new email arrives (V3) – from Outlook
  
• You need to make sure about the connection. The above trigger will start when an email arrives in the Inbox of following (screenshot) outlook mailbox.
  

Add the "Send an Email (V2)" Action

Use the Outlook connector:
Send an email (V2) (Office 365 Outlook)

Fill in:

• To: recipient's email (can be dynamic)
• Subject: e.g., “New form submission received”
• Body: customize with data using dynamic content
  
  

Save & Test Your Flow

Click Save, then Test the flow using the trigger you've chosen.

That’s it! The email will be sent automatically when your trigger condition is met.