A woman deserves a title when she earns it; and she should have to do just as much to earn it as a man does.
That, exactly, is the situation that exists. The GM, IM, and FM titles are awarded for specific performance without regard to sex.
However, due to evidence of social pressures discouraging women from developing their skills, and because men would like to see some women at chess tournaments, and for other reasons, there are separate titles that men cannot earn. These titles represent the achioevement of women against other women. They represent that although the titled may be merely among the top 5% of all chess players, they are among the top 1% of women chess players.
Wow... Now that the troll is gone, this has actually turned into a legible and intelligent discussion. Batgirl said in post #286 just about everything that I was going to say in response to Elubas (and then some), but I feel like I should still make an attempt at bridge-building.
Elubas, the fundamental difference in our approach seems to be this: we both agree that the issue of gender performance is not conclusively resolved, but your stance is that to avoid sexism, it should be assumed that chess potential is unrelated to gender, which inevitably means that to further avoid sexism, there should be no women-only titles and tournaments. You thus seem to use the guise of sexism to rationalize every one of your arguments. But what if sexism weren't the absolute taboo that you make it out to be?
We can argue about "guilty until proven innocent" and vice versa until the cows come home: but please consider that whether the evidence of men's currently superior performance should be treated as conclusive (and completely segregate the sexes) or complete hogwash (and abolish women's categories) may actually be something that shouldn't be resolved at the present time. With the status quo, FIDE is saying that there is evidence, but it isn't conclusive, and yet it cannot be ignored. What you would do is to ignore this evidence completely, citing sexism as your reason. Is the evidence sexist? No, it's just statistics. Is interpreting the evidence sexist? No, it's just common sense. However, refusing to acknowledge statistical evidence and asserting an unfounded sexual prejudice (of equality, in this case) IS sexist.