Warning: Contains SPOILERS for Hawkeye episodes 1 & 2.
Although MCU characters in Phase 4 opens up some exciting storytelling possibilities, but also raises some big questions, including which ones might have survived Thanos' Snap, and which were erased from existence and returned during the Blip.
So far, Marvel has remained rather tight-lipped on that matter, although it's certainly plausible that someone such as Yelena Belova (Florence Pugh) could have been a victim of the Snap. Hawkeye itself features some known victims and now returnees, with Clint's wife, Laura (Linda Cardellini), and their three kids, Lila, Cooper, and Nathaniel (Ava Russo, Ben Sakamoto, and Cade Woodward, respectively) all back. Similarly, the actions committed by Clint while living as Ronin in their absence weigh heavily upon the Disney+ show, and there's even graffiti ing the notion that Thanos was right in Infinity War.
The events of Hawkeye episodes 1 and 2 don't outright mention what happened to Kate during Infinity War and subsequently victim of Thanos' Snap, then that would've happened when she was around 16, and then factoring in the five-year time jump and people returning in the Blip, she'd be around 17-years-old in Hawkeye if she had been snapped.
Clint himself does initially guess that Kate's age is 18-years-old, which is in the right ballpark for her having been a victim of Thanos' Snap in Infinity War but, unless she's lying about being 22 (and given she has no reason to, and is also shown drinking) then she must have survived. This is the more compelling choice for Kate's age and story in Hawkeye, because it means she lived through the five-year time jump between Infinity War and Endgame, and so would likely have seen reports of Ronin at the time they were happening. That makes her decision to take on the guise, even briefly, a weightier choice because she knows what it represents (at least to a degree), and also sets up some conflict between her and Clint when she learns Hawkeye was Ronin (a truth that will presumably be revealed eventually).
Kate surviving Thanos' Snap also fits with just how skilled she is in Hawkeye. Although she herself notes she's been training in various forms of weapons combat since she was five-years-old, she is incredibly accomplished as an archer, which would indicate she continued training during those five years (and the time since), allowing her to be even more developed than she presumably was at the time of the Snap. Kate Bishop's age, experience, and outlook immediately make her one of the best new characters in the MCU's Phase 4, and having her survive Thanos' Snap leaves the door open for further dives into her past if necessary, all while Hawkeye sets up her much brighter future.
Hawkeye releases new episodes Wednesdays on Disney+.