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So, it's well known that men show charity toward women in distress by attempting to remediate the source or cause of their distress to the extent that they can, or in situations where the actual cause cannot be "fixed", say, with the death of a loved one, men will offer considerations to help offset the distress, various hopeful or joyful things to think about.  But that's not what women typically want.  What they want is for others to commiserate with them.

To some extent men should try to show more compassion, but at the same time it can be the case that women need to snap out of it too, since, given fallen human nature, that can be a very strong tendency toward self-pity and attention-seeking

Let's say a man's parent dies.  While the man certainly feels sorrow, he'll respond by springing into action and praying for their souls and having Masses offered for them, etc. ... since the man realizes that you're not actually helping the departed in any real way by just sitting around emoting and (partly) feeling sorry for yourself.  Get it together, man, he thinks, snap to action, and DO something about it (to the extent that it's possible).  I recall that when my father and my mother died, my wife criticized me for showing no emotion.  I rebuked her for that with "How do you know what I'm feeling?" ... since in point of fact I did feel great sorry.  I just am not one to weep openly or walk around all morose.

Women tend to wallow in their emotions, and  relish others coming to offer condolences, whereas the man might not give a crap, but would say "don't cry for me, since I'm not the one who died here ... instead, do something for the departed, pray, offer sacrifices, have Masses said, etc."

But, the short answer to your statement that men NEED to show women compassion when they're in duress ... it really depends, often on the woman.  If a woman is wallowing in self-pity, you might only be compounding the problem by feeding into it, and you might do well to try snapping her out of it.

Sadly, too, many women, laboring as they do under Original Sin, confuse love (and charity) with emotion.

Man:  Parent dies.  He's sad of course.  But he concludes that his feeling sad does nothing to help the parent.  So he gets a grip, and redoubles his prayers, and tries to find priests who could offer Mass.

Woman:  Parent dies.  Wallows in emotion.  Spends more time welcoming visitors and glad-handing with them than in actually praying for the departed parent and having Masses offered.

Which of these reactions show greater charity, greater actual love?

So, one of my daughters just "loves, loves, loves" animals, including a dog that she considers mostly hers (since she was the one who had begged for it).  Yet ... she doesn't take time to take her out for exercise, or to feed her, or even to get her water, to take her to the vet, or to groomings.  I don't like that dog.  But I feel pity for it, will take it out for walks, clean up after it when it pukes, take time and spend money to take it to the vet when it's sick.  Meanwhile, the daugher likes to pet the dog.  That's how she expresses "love".  Again, while we don't "love" animals the way we do people, who loves the animal more ... the one who gets an emotional rush out of petting the dog ... or the one who feeds it, takes care of it, and  will get up every hour on the hour throughout the night to let it outside when it's having stomach issues?

In other words ... some women also need a man to blance their emotions and to keep them in check.