When it comes to studies on sexual preferences (bearing in mind this is in the context of LTRs and reproductive partners), we find a consistent pattern wherein men value physical appearance relatively more than women, while women value pretty much all other traits relatively more than men:

On average, females rate age, education, intelligence, income, trust, and emotional connection around 9 to 14 points higher than males on our 0–100 scale range. Our relative importance analysis shows greater male priority for attractiveness and physical build, compared to females, relative to all other traits. Using multiple regression analysis, we find a consistent statistical sex difference (males relative to females) that decreases linearly with age for aesthetics, while the opposite is true for resources and personality, with females exhibiting a stronger relative preference, particularly in the younger aged cohort.

https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0250151

According to our findings, men were more selective in physical appearance, whereas women were more selective in all the other mate preferences (e.g., understanding, dominant, kind, intellectual etc.). The respondents that were seeking short-term relationships had higher preference for physical appearance, humorousness and sociability. On the other hand, the respondents that were seeking long-term relationships were more selective in most of the other mate preferences (i.e., understanding, kind, cultivated, domestic, reliable, and similar).

https://journals.sagepub.com/doi/full/10.1177/1474704920979623

Other factors included were wealthy (including social status), humorous, and sociable.

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You may argue that women just aren't aware of what their true inner desires are, or are even less honest about them. This is where studies on reproductive success come in. Firstly, when it comes to physical appearance, this study took and rated pictures from people's HS yearbooks to see how it predicted reproductive rates down the line when they were in their 50s. Here are the results:

Compared to the combined group of not attractive and moderately attractive women (average number of children=2.63), attractive and very attractive women had 16% and 6% more children, respectively (nonlinear). Adjusting for education strengthened these differences slightly to 17% and 8%. Marital status, in turn, accounted for part of the higher fertility of more attractive women so that adjusting for years of marriage attenuated the unadjusted differences to 10% and 0%. In men, the least attractive quartile had 13% fewer children than others, who did not differ from each other in the average number of children (table 3). Adjusting for education attenuated this difference to 12% and adjusting for marital status attenuated it to 8%, indicating that the lower fertility of least attractive men was partly accounted for by their lower marriage probability.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3000557/

So women are indeed being selected for attractiveness more when it comes to reproductive partners, while men aren't affected much as long as they pass a relatively low threshold.

This contrasts heavily to a study which looked at Swedish population databases to compare the reproductive rates of men and women suffering from various psychiatric disorders to the general population.

The results showed that men suffering from every kind of mental disorder that was looked at, including autism, schizophrenia, anorexia, bipolar, depression, and substance abuse, had lower reproductive rates than their female counterparts.

This was especially true in the cases of autism and schizophrenia, where affected women had about twice as many children as the affected men whose reproductive rates were around 0.23-0.25 of the general population's.

https://pubmed.ncbi.nlm.nih.gov/23147713/

This result is paralleled in this study of autistic subjects, where the rate was lower but women still had twice the amount of children and were much more likely to have a romantic partner:

Of the individuals with ASD, significantly more women (n=18; 46.2%) than men (n=9; 16.1%) were currently in a relationship (P<0.01). No significant difference was found in **the number of women (n=ll; 27.5%) and men (n=8; 14.3%) with ASD who reported having their own children.** Comparing the ASD individuals with the HCs, we observed that significantly more HC women (n=31; 79.5% ; P>0.01) and more HC men (n=47; 82.4% ; (P>0.01) than individuals with ASD were currently in a relationship.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5789215/

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These mental disorders will of course have a large impact on those other traits which the studies showed that women place higher value on than men, including personality, status, income, etc. so therefore it makes sense why it would affect men's reproductive rate more than women's, while physical appearance is perhaps the one thing which will affect women's reproductive rate more. There is of course an evolutionary psychology based explanation for this but I'm not sure if it's necessary to repeat it here.