Hi @laetitia-godet
Following up our email conversation and analysis
It seems that the v2.js file – responsible for rendering the forms – at your website has a different content than https://js.hsforms.net/forms/v2.js due to your cache solution, which outputs the error:
Uncaught SyntaxError: unterminated regular expression literal v2.js:1:533145
Since your cache solution only take the route for you live app, that is the reason why it works while logged at your wp admim page.
I’ll mark this as resolved. Feel free to open again if you believe we can further help.
Best regards