Her first run in with Dr Banner was not with Dr Banner, but rather his alter ego, The Hulk.
Needless to say, she was fucking terrified.
He sort of just appeared in medical, which was odd, because someone that large should make noise, and shouldn't be able to sneak up on a group of SHIELD agents, but it still happened. She was quite proud of herself for not completely freaking the fuck out, but instead just panicking quietly, while everyone else seemed to take it more or less in stride. (She knew they didn't, because she knew the look that panicked animals got, but they did an excellent job of disguising it as busy-ness.)
Despite the fact that Hulk didn't do anything, or go near anyone (probably because they scurried away just as soon as he approached) she was still freaking out by the time he shrunk down into his other self, a pale naked scientist.
Two nurses gave him a gown and helped him to a bed, where he slept for a number of hours, while two men with high powered rifles sat guard.
She wasn't sure which was more unsettling. The idea that this man could turn into something so frightening, or the idea that those men would as soon shoot him as let him do it.