I had a similar situation where I didn't want to come to work unless my ETL was there. I had a meeting with my ETL and things changed.
If I were you, I would talk to my ETL and tell him/her exactly how you feel. Talking to "Jane" probably won't solve anything if you are already clashing.
That sounds all too familiar but with my ETL- LOG. I'm a flow team member and my TL wanted me to cross train in backroom. He encourages all the good workers to not limit yourself to one work center. Once my ETL seen me, she would think of the dumbest jobs to keep ke occupied do I wouldn't...
My ETL is the type that brings her problems to work. If she's having a bad day, it shows in her actions and how she converses with us.
Just venting, that's all.