The naseuousness that comes from the pill, although probably from the hormones, can also be a psychological thing. The thought of ingesting something and it releasing things into your body can be unsettling.
For example, my sister is extremely afraid of getting shots, and every time she does she builds up the drama of it so much in her mind that she passes out. It has nothing to do with whats in the shot.
All im say is that it might be easier for her to deal with just sticking a patch on her body once a week and going on with life. Its hard to say, but there are limitless reasons and options available for everybody when it comes to safer sex.
End of story = pull-out method doesnt work.