A Hotmail account IS an Outlook.com account. Just connect to https://outlook.live.com/, log in with your Hotmail address and password, and you should see your mail. Hotmail was renamed to Outlook.com back in 2012, but all addresses in use at that time were retained.
Where are my Hotmail emails?
Go to Hotmail and log in with your credentials (email and password) from your Hotmail account. Your inbox will appear immediately and access is now direct.
Can I access my old Hotmail emails?
Go to account.live.com/acsr, and enter the Hotmail address you want to recover. Then type in the email address that Microsoft can use to contact you. Confirm your contact email address, check the security code and follow the on-screen steps to complete the process. Microsoft should get back to you within 24 hours.
Why cant I see my old emails in Hotmail?
Go to Outlook Settings, click on Sync email and then select Other email accounts. Enter your Hotmail address and password and link your accounts. For example, if you use Gmail, go to Settings, select Accounts, and Import, and go to Check mail from other accounts. Add your Hotmail account and check the results.