Omphaloskepsis comes from Greek omphalos (navel) + skepsis (act of looking, examination). Contemporary use of the word is usually made in jest, as "navel-gazing" is more commonly associated with being self-absorbed or involved in pursuits primarily fueled by egotism.
In this vein, Vaginoskepsis refers to being vaginally egocentric. A vaginoskeptic person, typically female and identifying with feminist thought, evaluates the world and the merits of matters in terms that relate to the vagina - more broadly, in terms relating to sex and gender roles, misogyny, and evaluating everything for its potential to sleight or repress females. Particularly vaginoskeptic persons will find ways to infer offense to any given thing, regardless of its actually being misogynistic.