I'd also be setting some clear boundaries about what I'd consider acceptable behavior from her toward you. Drinking aside, you have the right to expect to be treated respectfully and professionally. If she, for whatever reason, cannot uphold this standard, you have the right to discuss it with her, her supervisor, and your supervisor.
Just because SHE has a drinking problem spiraling out of control doesn't mean YOUR life at work has to be miserable.
CLMI