A week prior to me meeting her, one of my coworkers was learning under her when he went to go help out. Apparently a guy came up to her while this happened and asked her out. She turned him down for the reason it would be inappropriate for her to date someone where there is this power dynamic.
That’s huge - so she’s already had a negative experience there because of what that guy did.
It’s not necessarily a nail in your coffin - I don’t know what your dynamic is like wrt your jobs, but there’s a chance the other guy appeared out of nowhere & did make her uncomfortable.
There’s also the chance that if he’s a manager or someone with authority, that yeah - that definitely isn’t great at work for her if things turn sour. It’s not an equal relationship.
Try to stop thinking of it like getting her to go out with you is your end goal. Make your goal to be to help her have a positive experience when you’re with her and as a result, at her job.
If you get to be friendly and joke around and find out that you naturally mesh well together, any potential relationship that develops would be more natural and equal. It would be “Hey I like hanging out with you, we should do this more” instead of “Hey girl, I don’t know you but wanna go out?” She wouldn’t be put on the spot in an uncomfortable situation while trying to maintain a good reputation among her coworkers.
She could also still be paranoid about what that guy did - “does he hate me? Does he talk bad about me because I turned him down? omg he’s higher up than me…what if he ends up being my boss one day?” etc etc etc
I know that’s what I would be doing because yay anxiety, but of course I’m just speculating there.
Just be cool and focus on making her feel comfortable around you for a time with no pressure. After that, feel things out and decide if you want to take the next step.