My Hotmail account is not updating on my iPad

Start with initial fault finding:

• If you can't receive email on your iPhone, iPad, or iPod touch - Apple Support
• If you can’t send email on your iPhone, iPad, or iPod touch - Apple Support

What happens when you try to receive or send email? Do you see any errors - and if so, what do you see?

If email is failing to send or receive, you are likely to see indicative errors at the bottom of the mail sidebar - the wording of the error usually providing sufficient information to determine the nature of the problem.

Deleting and re-adding your email account is sometimes the easiest way to resolve a problem with a specific Mail account. After deleting the account, perform a forced restart before re-adding the email account to your iPad.

• Delete account:

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

• Force restart the iPad:

Force restart iPad - Apple Support

• Add Mail Account:

Settings > Mail > Add Account

Be aware that some email providers now require the use of App Specific Passwords when accessing mail over IMAP or POP3. If this applies to your email account, you will need to generate a unique password for your iPad email account - that will differ from your normal Account Password. As examples - AOL, Yahoo, Google, Microsoft all use App Specific Passwords when using anything other than their own email client Apps. 

Microsoft accounts include live.com, outlook.com and hotmail.com domains.

If you need to generate an App Specific Password, you’ll need to log-in to your Mail Providers account management webpage - using a web browser - and generate the Password from the appropriate account security page.

More details about Microsoft App Passwords can be found here:

https://support.microsoft.com/en-us/account-billing/using-app-passwords-with-apps-that-don-t-support-two-step-verification-5896ed9b-4263-e681-128a-a6f2979a7944