If she was drugged by him, then yes, this is a valid rape.
Otherwise no, it is not.
You are responsible for your actions regardless of how drunk you are. You are responsible when you operate a motor vehicle while intoxicated, likewise you are responsible when you have sex while drunk.
The only time you are freed from blame is when someone intentionally impairs your judgement without your knowledge. Such as a spiked drink.
This being simply what she admitted to.
You don't get to use "I was drunk" as a defense unless someone added alcohol without your consent. Even then the defense would be shoddy at best, as alcohol isn't exactly without flavor and side effects itself.