The classical/traditional ruling is that a woman has a limited right to divorce.
In practice, I have never seen a marriage which stayed together because a woman legally "can't divorce". If a marriage breaks down to that degree, there is usually a separation (either the wife leaves the home, or the husband leaves the home, or both agree to separate).
The shariah aspect informs what happens next - sadly, what sometimes happens is that the man refuses to grant the wife a divorce out of revenge, he moves on and marries another wife, and the woman is trapped being married to him in name only. Then, she puts forward a lot of effort to get a shariah divorce from the non-marriage, and oftentimes this is accomplished after some time (sometimes years) and with a lot of disillusionment.
The point being, at any rate, that if a marriage is unbearable, people won't stay together because of this particular law.
Regarding emotional intelligence, individuals vary. There are men with good emotional intelligence and men with low emotional intelligence. The same with women.
However, given the social pressures on women, women tend to have very acute survival skills in these matters. Most women in Muslim societies or communities in which divorce is stigmatized are acutely aware of the stigma of divorce and how it will disadvantage them or their children socially and financially and do not rush into it by any means. This stigma is cultural and not an original part of Islam; when you read hadith from the time of the Prophet (S), you see that it was not unusual for women to be widowed or divorced and to expect to remarry; the stigma against it in some societies is more of a modern thing. (Maybe things are changing these days, at least a few decades ago there was in some places a lot of stigma.) This is not to say that men won't suffer stigma - this also varies from society to society - but in general women tend to suffer more from divorce socially and financially, especially if they were a financial dependent.
(Exceptions may apply! I am just speaking in general here not for every specific case. Women, like men, also vary in their level of interest in being committed to a marriage.)
Anyway, regarding divorce law, there are some individuals in this day and age who are giving it another look. This is not dissimilar to how certain laws in the past were given another look, such as laws regarding the purity/impurity of Ahl al-Kitab.
In the meantime, one can work around this by granting the woman the right to divorce at the time the marriage contract is performed. (Sadly, again, this is often not enough to guarantee that a woman will be able to get the assistance needed for divorce, except in places where Shia Islamic marriage contracts are legally enforced, such as Iran, but at least it is something.) Maybe in the coming decades there will be some more dialogue on this issue.
Of course we hope that everyone has successful marriages and doesn't need to divorce! This is just a precaution.
