Lot of delusion in this thread. Though often in the conversation and at times the arguable best, Ga Young has never been the clear best player in the world among the women.
When Allison and Karen stopped dominating, perhaps about 2007, Ga Young was comparable, but not superior to, Jasmin Ouchan and Kelly Fisher. From 2008-12, I'd say Ga Young and Kelly Fisher were equals, and in more recent times, Ga Young, Han Yu, and Siming Chen are roughly equals.
At no point has Ga Young dominated her sport, and her game has never been even nearly comparable to the top men of her era. Allison rarely competed against the men, but Jean Balukas competed with some success against the professional male players of her day, owning match victories over probably thirty different male HOFers. Karen Corr has several Joss tour titles and has pro match wins over many of the greatest male players of her era. Ga Young has a long way to go to be in the conversation with the likes of Allison, Karen, and Jean. Perhaps she'll get there. She's a legend of the game, but she'll have to do more to convince this avid 40-year follower of women's pro pool that she's worhty of comparison with the all-time greats.