Using Outlook for Android for personal email and calendar management
Sorry to hear you’re having trouble with this. When adding the account, enter your iCloud email address. Outlook will detect it as an iCloud account and redirect you to Apple’s official sign-in page. To bypass automatic setup, look to the bottom of the setup screen and select Not iCloud? Then select Change account provider. Then choose IMAP and enter the server settings manually, using your iCloud app-specific password when prompted.