Plugin: Check Email

Hi I am using a 2011 child theme and a contact form through jetpack. It was not sending the email notifications (which it was previously) so I installed your plugin and with it I figured out that it is in fact sending the emails to my hotmail account but wordpress is not sending emails to my business account paul@hannafordimmigration.com which is a google apps account.

Can I use the plugin to help me diagnose what is wrong or would anyone smater then me have any idea what is going on?

Thanks in advanced.