Formal:
* Her (used as a possessive pronoun)
* The lady
* The woman
* The female
Informal:
* She-who-must-not-be-named (humorous)
* The girl
* Herself (referring to herself)
Literary:
* Fair maiden
* She of the [specific characteristic] (e.g., She of the fiery hair)
The best synonym for "she" will depend on the specific situation and the tone you're trying to convey.