Lets make a little biology off topic [allert: I will talk from a biological point of view that is anatomy and genetics, I won't consider the concept of gender identity, that is a psicologycal topic]
Women don't have beards.
It's biology not western whatever (furthermore I can not remember Japanese or Chinese or Indian, or Arabic, or African, or Aborigen, or pre Colombian, forms of art, historic documents, that show bearded women, or that describe woman facial hair as an estethic attirbute related to their culture).
Different hair patterns is a secondary sexual trait, like the different tone of voices, the fact that males have more muscular mass, anatomic attributes that are strictly tied to the different distribution of hormones and to the different pair of sexual genes (in females is XX in males is XY).
Beard defines a particular and gender specifci facial hair, in women there is indeed facial hair but not like that in men. Even when in the biological variability of phisical traits a man has scarce facial hair the amount is however more that tha facial hair present in some women.
Indeed when a person transition and start hormonal treatments to align their body with their gender identity in male to female transition the presence of facial hair start to decrease, and same happens to body hair in areas like the chest or abbdomeen (but in some cases still remains so diffuse that shaving is needed) while in female to male transition there is an increase of facial hair and body hair in the already said areas, to a level that it became proper beards even if maybe not as thick as in the average cis-male.
[Also I don't see any Asian, African, Native american, both north, center, and south America, art representation of bearded women, nor the antique artistic reperts, or the historical ones, show a culture where bearded women are described, depicted].
Beard vs not beard, those are social trends and are tightly tied to each culture and society.
[On a side and personal note: I'm Italian, my origins are Colombian, that is I know two different cultures Italian and Spanish derived one. When I read "western" I sneer because indeed there are similarities between Spanish and Italian culture, but they are very different, even in this times of world spread homologation, they have their own individuality, just like all the cultures that people like to unified under the "western" tag have their own peculiarities and indvidualities. To unified very different cultures on a single label is, ironically, very "western" style, and wrong just like is wrong to talk about Asian without caring about the fact that China, India, Indonesia, Japan, Philipines and so on are different nation with different backgrounds, to talk about Native American ignoring the fact that the autoctone populations have their own uniqueness, to talk about Africa like it is uniform, to talk about Islam and Arabics again flying over the vast variety of individual cultures and nationalities.
Specially when it comes to use a label to show a prejudice, like the fact that "pretending they don't is a western beauty trend"]
When we take on account the psychological side and gender identity we can have bearded women (like we can have men that have menstruation) like Conchita Wurst (but again from a biological point of view and from a genetic point of view the beard is related to the XY pair of genes and the menstruation to the XX pair of genes).