Hi,
Sending emails has nothing to do wit our VM Template. Our templates work based on "Template Overriding" and sending email, running checkout, gathering customer information. etc.. all kind of those sensitive process are taken care by core files (joomla and Virtuemart)
It may not even related to Virtuemrt Component as well.
First, make sure you did the email settings correctly. (From Joomla Global Settings)
Then, run some tests to see if your website sends email correctly. You can use "Ask a question" form, or use an another Joomla FormMail components, and send yourself some tests emails.
I would suggest you to use SMTP, (instead of PHPMail) because SMTP always perform much better.
To apply SMTP to your Joomla, refer to this tutorial:
www.serversmtp.com/en/smtp-joomla-settings
Regards,
Support.