Email to self

The inability to send mail is usually indicative of a problem with your SMTP (send) mail server rejecting your email account password. If manually setting-up an email account on your iPad, or updating the account password, you have to set the correct account password for both the “send” (SMTP) and “receive” (IMAP/POP3) mail server.

Sometimes the easiest method to resolve email account issues is to simply deleted the account, restart the iPad, then re-add the account.

To remove an email account from your iPad:

Settings > Mail > Accounts > [Your email account] > Delete Account

Restart iPad:

• On an iPad with a Home button: Press and hold the top button and the Home button at the same time. When the Apple logo appears, release both buttons.
• On other iPad models: Press and quickly release the volume up button, press and quickly release the volume down button, then press and hold the top button. When the Apple logo appears, release the button.

To (re)add an email account to your iPad:

Add an email account to your iPhone, iPad, or iPod touch - Apple Support

If the problem has now resolved without manual intervention, this would suggest that the problem was with your email provider’s SMTP server. Either way, the issue has been cleared.

From your description it seems like there is an error in the email address that is for yourself.

Make sure it is correct.