She doesn't know he is a serial killer of course. But for the rest: She knows he is military, not on active duty, not with an apparent family or job but traveling around, and with obvious PTSD and (after seeing the scars) with horrible experiences in the past. Getting a Medal of Honor means he has likely survived some serious shit. He deserves a lot of respect for his service - but i wouldn't automatically expect him to be unaffected and stable. I would invite him to a beer or meal, help him out etc - but certainly not trust him with my family or invite him to stay in my home until i know him far better.
She did warm up to him due to that and other actions, she did overcome some of her reluctance and distrust regarding Jessies infatuation with him. They are on a good path. Still when she was called to action by her group, her first loyalty is to her comrades in arms and her family. And that is righteous in my book.
Not saying they don't need to have a conversation about this to get back in the clear. Just saying that he is not the center of her universe. She is about Jessie, about police work, about her group. All her actions are understandable from that perspective. The MC is a stranger that started on his way towards becoming trustworthy (but still very recent, with many questionmarks). So better mutual understanding & (re-)building trust might be necessary, but not redemption.