That's a very good question, Bubbles. This would depend heavily on the location, which country and state. But there are a few major wrinkles here.
1: The teacher is in a position of power over the student, so any defense against it being statutory rape goes out the window.
2: The teacher was drugged by the student. How she got him back home to his place and got him to perform sexually, that's a different story.
3: The student lied about who she was to not only get into the club, but almost certainly when they met at the bar. Highly unlikely she opened with "Hey Mr. Archer, I'm Stacy from Bio 2, 4th period. Wanna fuck?"
4: Does the girl still have the drugs she used in her possession?
5: How does she react to to the cops? Does she play it off as some tale of unrequited love, spin a yarn about how he's been talking to her for a while, or does she play it off like she's the victim?
I could definitely see this as a case that Detective George Lewis (from some of my various stories) would love to sink his teeth into. If she's in the bar pretending to be someone else, then she would be the perpetrator. Doesn't mean our teacher is completely innocent, but this would definitely make for a good story.