Contact Form 7 reCAPTCHA Not Displaying on Form
You need to include the recaptcha library before </head>:
<script src="https://www.google.com/recaptcha/api.js" async defer></script>
The Contact Form 7 plugin should be including the script element to include the api.js file already. I just ran into the same problem today, with CF7 5.0.2. For some reason, CF7 is no longer including the api.js file. I can't figure why. I manually added it to the HEAD section, and the problem is now resolved.
