I know the best way would be to ask her but that would be even more awkward than asking here. For context I'm a man (she obviously a woman).

before leaving the room after having a conversation I give her a handshake, a normal businesslike shake like I do with every other employee, but each time I do that, she looks to the ground, smiles and shakes my hand using no force at all. It's like she lets me take her hand.

To me this means she is scared of me, she smiles and lets me "take" her hand because she doesn't want to look rude. I'm thinking about not shaking hands anymore.

has this ever happened to you?