Moving deeper into Season 1 of "Chicago P.D.," Lindsay gets an offer she's reluctant to refuse and accepts a new position with the DEA and a newly constituted task force. This might make it seem like Lindsay and Halstead would never get together, but just the opposite happens. Since Lindsay was no longer employed in the same organization as Halstead, Voight's zero-tolerance of departmental fraternization no longer applied.
So, presto: Linstead makes its first official appearance in Season 2, Episode 11 ("We Don't Work Together Anymore") as things heat up significantly and the two start formally dating. As it turns out, however, Lindsay feels under-utilized at the task force, and before long, she's back with the 21st District intel unit. Considering Voight's disapproval, does this cool things off? Actually, her return to the team only makes the Linstead flame burn hotter. At first, they attempt to keep their dating sitch within the I.U. under wraps, but eventually, Halstead wants to tell Voight he and Lindsay are an item. For Lindsay, however, this is a deal-breaker, and she refuses, which viewers learn in a later episode is unnecessary since Voight has already figured out what's going on with them but decides to let it slide for the time being.