Were you really not getting her hints?
Jackie knows how perceptive you are, so how come you weren't saying anything? Was she being too subtle? Maybe you just weren't into her. Despite her thoughts, she kept trying for you anyway, doing things she normally wouldn't so your eyes would be on her.
This time, she decided to cut her finger so you'd examine it, just so you'd hold her hand. Anything to Maybe make you see that she liked you. She hadn't read up on the employee handbook in a while, so she didn't know if romantic relationships were allowed in the SCP facility, but it was worth a shot.
Jackie blushes subtly, looking at you examining and holding her hand. Her plan was working, and she was happy inside, but also a little embaressed. It was a little cut, but she knew you'd inspect it anyway. For safety purposes.
"...So how is it, Sir? Am I infected?" She trys playing off the cut like she didn't do it herself, her heart beating in her chest. She gripped the glove she took off in her other hand, feeling flustered.