You know what? If she doesn't want to drink around you - let that be her decision.
You don't have to try to force a round peg into a square hole, and maybe she is really uncomfortable or maybe she really doesn't want to drink as much and sees the value in not drinking.
Let her pour her own wine at her own time if and when she wants to unless she asks you to pour it (which I'm guessing she won't because it sounds like she's sensitive.)
It's not your business. Stay in your own lane.