Kate fell in with Phobos at some point soon after the government crackdown, and soon after a super secret black-ops type team was formed, consisting of Alex, Kate, April, Aoi, and sometimes Quentin and Monet (and maybe others IDK!!) Kate isn't the leader, though she thinks she should be. They're often told they do more damage than good, that they're this close to being permanently disbanded, blah blah blah. The team itself doesn't always get along, but they get shit done, and that's what matters.

By this point she's hella over her Bucky crush (mostly) and is more concerned with the people on her team not dying than anything else. Her team is her family, even though they don't always get along.