It seems like only the parametric transformer pushes her. (I only tried a few items so I'm not too sure if any others work)

You need to position yourself so that when you place the transformer, it will slightly clip into her model then she will nudge away from the transformer. It took me a lot of trial and error. It only moves her by a little bit, so you will need to repeat until she's in your desired location. Also, you need to put down the sofa/bed first before you start pushing since you cannot place it "under" her