New Avengers, Vol. 1 #23A

Civil War - New Avengers: Disassembled, Part Three
S.H.I.E.L.D. forces capture Jessica Drew, and bring her in for treason. Iron Man has told Maria Hill about Jessica's status as a triple agent, reporting not only to S.H.I.E.L.D. but also directly to Nick Fury, and to Hydra. As she's being debriefed, the helicarrier is struck by an EMP. Hydra agents storm the ship in all the chaos to rescue Jessica. Having burned all of her other bridges, she meets up with the resistance in one of Nick Fury's old safehouses and begs to be taken in.
Release Date: 2006