What I did to teach Kiki to step up and to warm up to her when she didn't know me is take her to unfamiliar territory, a place she spends no time in and a place that's small. I took her to my shower, layed down a towel in the tub so we didn't slip, put her down and I sat down. The tub is good because they can't leave or escape.(Another example is a laundry room, or just the bathroom floor.) I let her get calm first and then we worked on stepping up there. The key is to stay patient and keep calm. I also gave her treats and let her eat from my hand. Millet is good for that, or any of her favorite foods. Contrary to popular belief, you can even use her seeds or pellets (whichever one is her main diet) as a treat.
I talked to her in a soothing voice and we just sort of chilled together when I took a few minutes away from trying to get her to step up. Be persistant with this, I know it can be frustrating. Also, the key is to end on a good note ALWAYS. And when you have actual training sessions (of stepping up, not of feeding her from your hand and such) fifteen minutes at a time, several times a day is good.
But what I see here is she just isn't very friendly with you, so you want a mix of all of this, not just simply training to step up, but also just letting her know you mean no harm, so she will warm up to you and you guys can become buds. Like I said before, that really just includes talking to her in a soothing voice, feeding her all kinds of treats from your hand, praising her when she does something good or comes to you, etc.
(Also...The reason I say "unfamiliar territory" is because your 'tiel is probably territorial to a degree, and also feels safe and likes her cage. When away from that and in a neutral zone, there's no cage to see and go to and no territory. Does that make sense?)
Am I being clear or just babbling?
I hope I've helped some. If not, I'm sorry, and I wish the best of luck to you and I hope all goes well.