From Wikipedia:
Intuition is the ability to acquire knowledge without recourse to conscious reasoning.[2][3]
[…]
In more-recent psychology, intuition can encompass the ability to know valid solutions to problems and decision making. For example, the recognition primed decision (RPD) model explains how people can make relatively fast decisions without having to compare options. Gary Klein found that under time pressure, high stakes, and changing parameters, experts used their base of experience to identify similar situations and intuitively choose feasible solutions. Thus, the RPD model is a blend of intuition and analysis. The intuition is the pattern-matching process that quickly suggests feasible courses of action. The analysis is the mental simulation, a conscious and deliberate review of the courses of action.[31]
[…]
According to the works of Daniel Kahneman, intuition is the ability to automatically generate solutions without long logical arguments or evidence.[35]
From https://pdfs.semanticscholar.org/2b46/eb90aee800358d92540db1665493b40ee77b.pdf :
The thesis proposed in this review is that intuition is a phenomenological and behavioral correlate of knowledge obtained through implicit learning. This claim is assessed in two ways. In the first part of this review, an explication of the conceptual correspondence between implicit learning and intuition, with particular emphasis on social intuition, is laid out. In the second and third sections, evidence suggesting that the basal ganglia are the neuroanatomical bases of both implicit learning and intuition is reviewed.
From Intuition, women managers and gendered stereotypes | Emerald Insight :
Results indicate that there is no difference between female and male managers in terms of intuitive orientation, that female non‐managers are more analytical (less intuitive) than male non‐managers and more analytical than female managers. This lack of support for stereotypic characterisation of women managers and women in general as being more intuitive than their male equivalents is discussed within the context of structural and gendered cultural perspectives on behaviour in organisations.
From https://philarchive.org/archive/ADLDMA :
Our results do not indicate that women have different intuitions than men about this set of philosophical thought experiments.
[…]
However, we asked the students whether they had taken (or were taking) anyphilosophy courses. We found no significant differences (using independent-samplest-tests) between the minority of students who had philosophy course(s) and those who hadn’t.
This goes on for hundreds of pages : Google Scholar
In a nutshell, intuition is how to bypass reason to come to a fast decision while doing high-speed pattern matching and avoid rational deliberations, for cases where you need a preliminary direction or can’t afford the time. It’s more about immediate survival than deep understanding, let alone science and structures splitting. And there is no evidence (in recent studies, possibly less biased than some stinking stuff from the 80’s and earlier) that women behave differently at it than men.