Lady ain't got a clue

I got this lady at work who doesn't do shit. I am her supervisor and all she does when I make her work on something is complain and not do it. I've been putting up with this for about two years now. At the end of last year this came to a head and I met with her, but now it's getting really annoying. She was suppose to do a half an hour worth of work the other day, and all she wanted to do was bitch that she was too damn busy. We're all busy this time of the year! I have a guy working on the same project who I am sure has put in over 6 hours, but she can't be bothered. Not at all. I am told my boss that unless this lady is moved to a different project next fiscal year, that I will step down. I am done with her. I bet this lack of motivation will show up on her review and she's not tenured for another year. I bet she thinks she will be locked in come summer, but she was hired in the middle of the year. I hope they do something about this.

I want more support with this!

I wrote about a guy at work who called me an asshole in front of a bunch of my colleagues, and we still haven't resolved this. I am getting annoyed. My admin friend promised to mediate a meeting so we could come to some agreement on how to deal with each other, but that's not happened. One time an appointment wasn't made, so I didn't know which day to show up. Not my fault. This is why our system makes appointments! So I got her to reschedule for today, and she didn't show! Neither did he. I am annoyed. They obviously both knew we weren't meeting today, and no one told me. This pisses me off. I want this resolved. If she won't meet with me, then I will go to my union and get the rep to meet with us. I wanted to handle this quietly and quickly, and it's being drawn out. Pisses me off. Good leaders need to either be where they say they will be, and/or cancel appointments they can't make.