Can you see the submissions of the form in back-end when you submit it? Have you set action after submission? If you can see them, most probably your issue is connected only with getting emails.
First of all please make sure the email is not filtered to the spam or junk email folder.
- Try using another email address (preferably one with the same domain as your site)
- WordPress uses PHP mail. Perhaps your hosting does not have sendmail enabled. Please contact your hosting provider.
- Alternatively, you can use SMTP, which should always work.
You can use this plugin for example: http://wordpress.org/plugins/easy-wp-smtp
Setting up an external SMTP server, such as GMail should work. But GMail requires authentication.
SMTP Authentication: yes
SMTP Security: SSL
SMTP Port: 465
SMTP Username: your gmail full address
SMTP Password: your gmail password
SMTP Host: smtp.gmail.com
If you face an issue with the submissions as well and if your Action after submission doesn't work, please give us (to firstname.lastname@example.org) admin access to your site, by indicating the forum post link in your email subject. We'll try to fix the issue as soon as possible.