Using New Outlook on Windows for personal email, calendar, and contact management
Who's your email service provider? How is the email address set up?
If the email is set up as POP or IMAP, the calendar is not supported because they are for syncing emails only; hence, when you get a calendar invite, you will not get the RSVP buttons. The email needs to be set up as an exchange in order for calendar feature to work, and that also depends on if the email service provider supports the exchange protocol for their addresses.