Finding synonyms for the phrase "this woman" depends on the context in which it's used. If it's being used to refer to a specific woman that has already been mentioned, some synonyms could be "her", "she", or "the aforementioned woman". If the phrase is being used more generally to describe a unknown woman, synonyms could include "a female", "a lady", "a gal", "a woman", or even more specific terms related to the woman's age, occupation, or appearance like "the elderly woman", "the working woman", or "the brunette woman". The appropriate synonym ultimately boils down to the writer or speaker's personal preference and the intended meaning of the sentence.