After the surprise reveal that Varra the Skrull is Nick Fury's wife at the end of the second episode of Secret Invasion, "Betrayed" explains a bit more about this relationship. Uncertain fans speculated that Fury may not know about his wife's dual identity, and they were right. Oh, Fury knows she's a Skrull, but what he doesn't know is that she's working for the rogue Skrull faction and serves Gravik.
Source:https://www.cbr.com/nick-fury-wife-verra-relationship-explained/