C# ASP.NET Send Email via TLS

TLS (Transport Level Security) is the slightly broader term that has replaced SSL (Secure Sockets Layer) in securing HTTP communications. So what you are being asked to do is enable SSL.

On SmtpClient there is an EnableSsl property that you would set.

i.e.

SmtpClient client = new SmtpClient(exchangeServer);
client.EnableSsl = true;
client.Send(msg);

I was almost using the same technology as you did, however I was using my app to connect an Exchange Server via Office 365 platform on WinForms. I too had the same issue as you did, but was able to accomplish by using code which has slight modification of what others have given above.

SmtpClient client = new SmtpClient(exchangeServer, 587);
client.Credentials = new System.Net.NetworkCredential(username, password);
client.EnableSsl = true;
client.Send(msg);

I had to use the Port 587, which is of course the default port over TSL and the did the authentication.