Ok, I'm not asking for advice, I just want to know what my rights are as an employee.

The Background:

There is a female co-worker who I used to work with on my shift, she recently left for another position on another shift. I have been trying to get on this shift for a couple of months for personal reasons, and I was finally awarded a position starting next week. She has a best friend who also applied for the job and didn't get it. So she played this card:

"I'm not comfortable working with him"

Now let me fill you in on why she said this: Back when we worked together, I asked her to hang out once or twice (as a friend, I have never had any interest in her in any other way, and this is very confusing), once I also tailed her a couple blocks to one of our mutual friends house (to say hi, I do it with my other friends, they do it with me, its nothing odd), and she has used both these cards. I am friends with everyone I work with, and my intention here was no different.

She has taken this all the way to the General Manager of my department, as well as Human Resources. And I have been advised to stay quiet and get to know my rights. I know I can win this because I never stepped over the line in any way, and I feel I have been slandered and my character has been defamed just so her buddy can get on her shift. (She has pulled shit like this before to sway things in her favour)

What are my rights as an employee? What are my options when it comes to HR, as I feel severely offended, I think I have some basis somewhere to launch a complaint about it.