Hello Crusher_59,
Welcome to Apple Support Communities. We understand that you’re not receiving all of your iCloud emails to Outlook on your Mac. We are happy to help.
Did you set up Outlook using the Mail app on your Mac, or are you using the Outlook app for email on your Mac? This will help us to isolate the cause.
We recommend trying the steps here: If you can’t send or receive email on your Mac - Apple Support
"Check for status messages
You might see a status icon such as a lightning bolt
or warning symbol
next to your account's inbox in the Mail sidebar, or in the upper-right corner of the Mail window. Click it to learn more.
Test using webmail
Many email providers offer webmail, which is a way to use email with a web browser such as Safari, instead of with an email app such as Mail. For example, if you're using an iCloud Mail account, you can use iCloud.com to send and receive email.
Webmail is a good way to verify that your account is valid, but it doesn't mean that your account is set up correctly in Mail on your Mac. Your email provider can help you verify your email settings and check for other issues that affect sending or receiving email.
Remove your email account, then add it back
If no other solutions work, follow these steps:
- Remove your email account in Mail.
- Add your email account in Mail again. When adding the account, make sure that you choose the correct email service provider for your email address.
- Try to send and receive email."
We recommend these steps to add email accounts on your Mac: Add email accounts in Mail on Mac - Apple Support
"Add your first email account to Mail
The first time you open Mail, you may be asked to add an account. Listed in the dialog are domains for email accounts.
- Select an account type or Other Mail Account.
Note: If you want to add your @iCloud, @me, or @mac address, select iCloud.
2. Enter your account information.
If you’re already using an account on your Mac with other apps, such as Contacts or Messages, you can also use that account with Mail. In Mail, choose Mail > Accounts to open Internet Accounts settings, then click Add Account on the right."
So that we can further isolate the cause, we recommend testing in safe mode using the steps here: Start up your Mac in safe mode - Apple Support
"Apple silicon
1. Shut down your Mac.
2. Turn on your Mac and continue to press and hold the power button until you see the startup options window.
3. Select your startup disk, then press and hold the Shift key while clicking “Continue in Safe Mode.”
4. Log in to your Mac. You might be asked to log in again.
Intel processor
1. Turn on or restart your Mac, then immediately press and hold the Shift key as your Mac starts up.
2. Release the key when you see the login window, then log in to your Mac.
3. You might be asked to log in again. On either the first or second login window, you should see ”Safe Boot” in the upper-right corner of the window."
These steps may help. Please let us know if you have further questions.
Take care.