Sentence:  "It is difficult to gauge the exact point at which women stop trying to fool men and really begin to deceive themselves, but an objective analyst cannot escape the conclusion (1) that partly from a natural device inherent in the species, women deliberately <WSD>project</WSD> upon actual or potential suitors an impression of themselves that is not an accurate picture of their total nature, and (2) that few women ever are privileged to see themselves as they really are." 
Meaning of the word marked with <WSD> tags:  To present (oneself), to convey a certain impression, usually in a good way.