Let me rephrase the information flow to see if I got it right.
a) User U puts information into form at website W,
b) W then sends information to U via eMail.
That makes two communication processes that have to be protected. As you are only asking for protection of b) I assume you are already using TLS/SSL during a).
To protect b) you need some keys for encryption. I see two solutions: either some symmetrical secret that is exchanged during a) or some asymmetric public key that is exchanged during a). The latter one doesn't need any secrecy during a), which is an advantage, but you still need to authenticate that this key is indeed coming from U.
Both types of keys may be transferred during a), you probably just have to insert a new field into your form. In both cases U needs to have the necessary software to decipher any encrypted communication received in b). Having x509-Certificates or PGP-Keys as the two standard encryption algorithms these are probably the best guesses to start with. I am not sure how much is supported by ASP.NET, but even if I assume eMail encryption is not supported directly, some encryption should be supported.
Problem still is, that you will not find a solution that does not assumes some features of U's mailclient (above reading eMails, for some of us encryption is a fairly common feature).