For a church that claims to be pro-family, why should the organizational structure favor gay priests?
Obviously, it should not be favoring gay priests. That is a clearly a cancer and complete disaster. And it is also true that there already are married priest who do a great job, former Protestant ministers who were already married plus Eastern Rite priests.
But in defense of the general rule of unmarried priests in the Latin Rite, to me there can be (emphasis on ‘can’) something good about priests whose single life leaves them out of the rat race of normal family life. For example, the ideal unmarried priest is not pushing for his kid to be pitcher on the baseball team, he’s not trying to scrape away more cash to buy his wife a new car, he’s not doing all the angling that married men are required to... In theory, this should leave him less distracted and more singleminded and objective in his focus on his ministry. Is it working like that at present...? Obviously, there are enormous problems.
Also, keep in mind that the cardinals and bishops pushing for this change tend to be the most liberal / most pro-gay. They want to tear down all of the Church’s norms about marriage and sexuality, and they view married priests as a significant step in their campaign.
In some places, they have been (wrongly) tolerated by people such as seminary rectors, "discernment" committees, and bishops acting against, not "with", the traditional norms, canons and disciplines of the Catholic Church.