How to inbed a forum into email server?

If I understand your concern correctly, you want to embed a forum into your email server? I believe it is not possible to embed a forum into an email server. If you are referring to a different concern, kindly give us further details so we can assist you better.

We would like to send out the form on our email database is this possible, or can we only send out the link 

It is not possible. We would suggest hyperlinking the form URL instead of embedding the form to your email. Some mail clients (i.e Mozilla Thunderbird) allows you to embed an external source but nowadays, mail providers do not accept this kind of content. That will be rejected as possible SPAM.