She'll accept that look in return, as she does recognize he's trying to be nice and helpful. His latter suggestion just makes her laugh, head-shaking. "OH gods no, that is so not what I want, Santa...sheesh."

She's not even asking to be friends, tough guy. She's more trying to get him to not assume things. Lydia tries to not assume things either, about people she doens't know. "I wouldn't mind us at least being on good terms, but I'm not asking for your life story any more than you're asking for mine. I'm just pointing out that you're assuming things." There's a shrug of one shoulder, and she's willing to let it drop if he is.