Rush, who was privy to Jefferson's secrets, thought Jefferson believed in Jesus' divine mission, thus giving the impression that Jefferson was a Socinian. Elsewhere Jefferson made clear that he believed Jesus was 100% man, not divine at all. The question then becomes did Jefferson believe Jesus of Nazareth, the man, on a divine mission. Rush seems to think so.
Rush also says Jefferson believed in the resurrection. While Jefferson didn't believe in Jesus' past resurrection, he did believe in an afterlife where people would be judged and got their future state of rewards and punishments. After Priestley, Jefferson was a materialist and didn't believe in an afterlife without a resurrection.
Below is a photoshot from Rush's autobiography speaking on Jefferson's faith.