Should this be a concern. Right now I see a fairly cute girl in the library sitting at a computer. I'm debating about just taking my stuff over and asking if anyone's using the computer next to hers. The problem is that right across there's two girls sitting who I know and don't talk to much anymore. I would rather not have them over hear in full blown the conversation we would have. Is this a legitimate concern or should I just do it anyway?

EDIT: Well I just did it, the people I know left so I just swooped in. Currently sitting next to her and tried to spark a conversation about her upcoming exam, didn't seem very receptive though (e.g. has her headphones in) not sure what to do now, oh well

EDIT: She just left now, so many of the girls here are such cold bitches... Sheesh I barely even uttered a couple words before she immediately showed no interest