WordPress Email Problem

Hi there,

I just started a wordpress blog and I have some email problems.
Whenever someone registers or clicks ‘forgot password’ they never receive the mail.
My website does NOT support email capabilities and I think thats the problem.
https://appletech91.byethost6.com/ My website

So is there a way to use an email like this : [email protected] instead of [email protected] as my website does not allow email capabilities? I can only find plugins to change from [email protected] to [email protected] .

Thank you very much…