If you have your Contact extension for Connections activated, please deactivate it. One of the primary feature is to suppress the display of email addresses.
I see you are using the Circled template. By design the listings view displays only limited info; photo, name, title, bio excerpt and email icon.
It appears you may have disabled the View Profile link. If you would like your visitors to view the profile page, remove the
show_profile_link='FALSE' from the Connections shortcode on this page.
I hope this helps, let me know.
ps. I just notices you embedded the search widget for Connections on the page. Instead, I recommend enabling the search option for Circled.