Publishing Form to External Website - Will SharePoint List functionality still work?

Hi,

I currently have an MS Form which captures data, then on submit it creates a record in a SharePoint List (this is done via Power Automate). Both the Form and SharePoint List are within the same SharePoint domain.

I now want to publish my MS Form to our website i.e. external (assume this will be done by embedding the MS form code). Will the functionality that is in place to create a record in the SharePoint List still work? Is there anything additional I need to do?

Thanks!