You appear to have a Javascript Conflict on http://www.therecoveryplace.net/about-us/insurance-providers/generic-insurance-page/ which is stopping CF7 from executing correctly.
It did execute after about 10 mins. You should get a couple of test emails.
Most likely cause is the interactive map which appears to be showing a Javascript error in Firebug.
This a clear difference between the working and non-working pages.