Kremer and Markowitch introduced in [10] a new property for certified email protocols called no author-based selective receipt, and proposed two new protocols respecting it. In this paper we show that these protocols implicitly require the sender of the email to trust the trusted third party to assure this property. We propose a new protocol in which this trusted third party has only to be trusted to assure fairness and timeliness, like in most other exchange protocols. Unfortunately, unlike [10], our protocol does not guarantee the delivery of a non-repudiation of origin evidence to the recipient. We prove that this is impossible to achieve without a fully trusted third party.