It is entirely possible for her to be given the suit while in captivity. Remember, she was experimented on. Why wouldn't the people conducting the experiments-who were forcibly training her specifically for combat purposes-create a means of protection for both themselves AND their investment? Carbon-Carbon fibers are often used for to help protect against high heat environments, and are frequently found in Aerospace programs. If they were planning to weaponize her and use her as a soldier, I'm quite sure that they'd be able to commission and build a suit within 6-7 years. 

It feels like you didn't even read my CS all the way through.