After a certain point, yes, alcohol was forced on her. Once she became so drunk that she couldn’t get herself a drink, she couldn’t consent to a drink, either; not just rape.
Or can you continue to give a drunk alcohol until she’s poisoned with no culpability? You can’t.
“After a certain point, yes, alcohol was forced on her.”
How do you force alcohol on someone? I suppose it would be possible if they set up an IV, but handing a drunk a drink is not forcing it on them. By your way of thinking, a bartender filling a glass would be forcing it on the customer...