Now today... .my (work) message has been ignored
songbook is right. It's push / pull behavior.
I wouldn't take what she said about her family member at face value Hadlee. It is possible it was a family member, another possibility is a dissociation ( lying ) to match her out of place feelings.
Let's look at this this way.
She likes you. It's unreciprocated love. She's tested you several times. I think she's fabricating this story with the family member to telegraph she is straight and she's clearly shown she wants intimacy with you. I think she knows you're not interested same sex.
You chat with her online. I understand not being able to get away from it at work. She has work related issues and isn't always the best performer. You have meetings with her.
Why the online chatting? I may want to put certain boundaries away from the workplace. It's your personal life. Sure you have a work relationship and does it need to crossover in your personal life?
Unreciprocated love is awkward, frustrating, uncomfortable. I can relate. I had a coworker have serious feelings that I didn't reciprocate and this went on for a year, perhaps more. Not fun. It's one thing for it being in the work place and it's another when it's also outside of the workplace.
I like you at the time had difficulties expressing feelings with her and boundaries. I never told her I wasn't interested. I was feeling alot of guilt ( codependency ) and worried about hurting her feelings and not taking care of my needs.
You can't get away from it.
Why the hesitation with the talk? What if she does twist things? You can't control the possibilities, you can control how you react if it does happen.
What if you don't have a talk with her? What's your limit? What if this goes on for another 6, 18, 24 months?