In the 1995 X-Files episode "Aubrey," a pregnant police detective experiences spells which drive her to dig up skeletons from a 50-year old murder case that had been missing until then. The murders were committed by a serial killer who carved the word SISTER or BROTHER into the victims' chests. Detective Morrow's pregnancy also brings on terrifying nightmares of the same crimes being committed in the present day.
In the first half of the episode, Detective Morrow's seemingly psychic powers are portrayed as an extreme version of the normal stereotypes of "women's intuition" and "mother's instincts." These gendered "talents" are mirrored by Agent Scully's intuition in guessing correctly that Morrow is in a relationship with her boss and is pregnant. When Mulder asks Scully how she knows this, Scully replies, "A woman senses these things."
What is probably closer to the truth is that Scully is a trained investigator who picked up on subtle interpersonal cues and a trained medical doctor who noticed physical indicators of pregnancy. But in the script it's boiled down to "woman's intuition," because it is assumed women's area of expertise is in relationships, romance, and reproduction. Imagine this hypothetical exchange in which Scully is analyzing a body at a grisly crime scene:
Scully: "The victim's body was taken apart with a chainsaw."Scully might use the same skills of observation and medical expertise in both situations, but attributing the second to "women's intuition" would likely be read as a joke by the viewer because it is outside what are seen as the natural female talents.
Mulder: "How do you know?"
Scully: "A woman senses these things."