You can put a link on your website that leads to the public registration of an event in yve or to the login page for participants.
yve prevents the use of yve in iframes for security reasons. Yve (like most common web apps) uses protection to prevent a Cross Site Request Forgery attack (CSRF, see
https://owasp.org/www-community/attacks/csrf). This protection prohibits calling yve in iframes.