I've never really thought about it before, but theoretically, shouldn't Angela be able to give herself taste simulators of some kind? Even putting aside the powers of the Light, surely the augmentation technology is available within the City, and surely at least some books in the Library would give an inkling on how to do it.
On the flip side, Angela's just as stubborn as Ayin was, so it could simply be her refraining out of spite.