Shihion-fon said: yeah, its most likely drunken fist. that's the common hand stance for the drunken fist, if memory serves.
You're right. Her right hand is to pretend she's holding an imagery drinking cup (the old shot-glass, if you will). It's also the primary striking hand at this point.
For certain drunken boxing, though I couldn't specify the form and name of this specific type of drunken boxing, (there are a few offshoots), nor could I specify the name of this specific posture.