Hi @Andrew81. Thanks for being part of GoDaddy Community! There are a number of things that could be causing this issue. More than likely the issue is related to your domain email account since the form appears to be capable of sending. If you could provide more information, including the domain name in question, others might be able to give you suggestions on what to check and how to move forward.
JesseW - GoDaddy | Community Manager | 24/7 support available at x.co/247support | Remember to choose a solution and give kudos.