She's fine, but her mask is cracking, allowing the subzero temps to toss her into the deep freeze. Unfortunately, the alarm has caused the system to go into lockdown, so Bucky can't get to her without shooting the hell out of all of the surprisingly non-bulletproof glass. He gets to her, swoops up Sydney and the core, and, instead of worrying about the baddies that are most likely going to show up at any second, he drops Syd on the floor outside the cryo chamber and tries to revive her. Of course she comes around just as the one of the baddies makes his appearance. Bucky disposes of him quickly, and he and Syd make their escape.
Back at The Institute For Idiots, Francie and Willage are discussing the infamous ticket stub. They're all, maybe she's having an affair with someone or maybe she's in an abusive relationship or maybe she's having an affair with her boss or maybe she's having an abusive affair with her boss. Whatever. End scene. Seriously. Just shut up.
The Best Little Safehouse in Kasineau Kountry. Syd's bundled up with a cup of hot broth. Bucky enters and tells Syd that they'll be extracted in about six hours. As the driving beat of Depeche Mode swoons across the soundtrack, Syd and Bucky do The Dance Of Flirtation. Syd's all, I'd love a fire in the fireplace. Bucky's all, keep yer pants on, Chiquita -- a fire would show up on Kasineau's thermal-seeking equipment. Then he wants to know what Syd was looking for in the database. Syd tells him a truncated version of the Spy Mommy sob story, and winds it all up by saying that she wants to let him in, but she doesn't feel comfortable doing that quite yet.
Bucky thinks Syd's still mad at him for dumping her all those years ago. Syd's not mad, she's just horny. We know this because, even though she doesn't seem to be able to trust him and still harbors feelings of guilt and regret and sadness about Bucky, she drops her blanket, walks right on over, and lays a warm wet one on Craggy McCraggerton's drooling mouth.
Let the games begin!