Horizon70s – I don’t see any of the Contact Form 7 code in your source code that would lead me to believe the plug-in is actually active.
Example code I see on one of my sites running this plug-in:
<link rel='stylesheet' id='contact-form-7-css' href='https://www.yourdomain.com/wp-content/plugins/contact-form-7/styles.css?ver=3.0' type='text/css' media='all' />
<script type='text/javascript' src='https://www.yourdomain.com/wp-content/plugins/contact-form-7/jquery.form.js?ver=2.52'></script>
<script type='text/javascript' src='https://www.yourdomain.com/wp-content/plugins/contact-form-7/scripts.js?ver=3.0'></script>
Does your theme have the required WordPress plug-in hooks in your header.php file:
https://codex.www.ads-software.com/Function_Reference/wp_head
and footer.php file:
https://codex.www.ads-software.com/Function_Reference/wp_footer
The OP should check this as well as I noticed only some of the above code in their theme.