I had the same issue. It is VERY easy to solve. Just log out of your admin account and refresh the page with the form on it. Boom!
I guess because you are logged in as the admin, it doesn’t have to show you the reCAPTCHA. I have been troubleshooting this for hours. I decided to look at the website on a different computer (this computer was not logged in at all) and I was able to see the reCAPTCHA. Then I decided to log out on my main computer and refreshed the page and I was able to see it.
I hope this helps some of you out there!
