Thanks for the clarification. This should be pretty straightforward to set up. Each Airtable form has a URL to open it (click the “Share form” link in the toolbar for the form in Airtable). Set up the button on your website so that it targets that URL. As far as adding the button itself, that’s something you’ll need to figure out based on how you’ve designed your site.
If you want the survey form to be embedded in your site, and only appear when the button is clicked, that will take a little more work, but not much. The easiest way would be to build a new page for your site that has the form embedded (in the “Share form” dialog in Airtable, there’s a “Embed this form on your site” link with more setup details), and target that page when the button is clicked.