How to send a message to one recipient & no sender using the MailAddress Class?

Hi All,
How can I send a email message to just once person? When I use the following, I have to put in a valid sender address as well as the recipient address in order for my message to be sent. This will send two messages: One to the sender, and one to the recipient. How can I just have my application just send to the recipient only using the Smtp Client Class?
      MailAddress fromAddress = new MailAddress(sender);
      MailAddress toAddress = new MailAddress(recipient);
      MailMessage message = new MailMessage(fromAddress, toAddress);
      SmtpClient mailSender;
      mailSender = new SmtpClient("Smtp.test.com", 25);
    
      message.Bcc.Add(fromAddress);
      message.Subject = subject;
      ...