How comparable are the FIDE ratings of men and women with the existence of women-only tournaments?

Ju Wenju is the first woman to defeat a top ten player since Judit Polgar in a classical game. She has gone on to draw Ian Nepomniachtchi and also Gukesh in the same tournament. In the after game interview she was asked if she was underrarted because she didn't play against stronger players but mostly against other women. She believes she is stronger than her current rating. If the top women players decided to throw women tournaments out the window and play toe to toe with the male players I believe the results could be surprising. But with the mindset of becoming the "women's world champion" instead of World Champion how could the lower expectations not hold them back?

Ju wenjun is definitely a bit underrated. She's a 2600 strength. We might witness the second Judit polgar coming into existence.

I think people are drawing too many conclusions from a few games. Hou Yifan was considerably stronger than Ju and still scored a winless -8 in Tata 2018:

https://www.chessgames.com/perl/chess.pl?tid=92172&crosstable=1

Ju has been doing well here but it’s still only a few games.

Just because Hou Yifan did bad in one tournament doesn't mean she should throw her hands up and resign herself to playing other women. She should learn from her mistakes and continue to get stronger. If a 1200 player only played against those his level and weaker his chances of improvement would be seriously hindered because he would continue to play like a 1200 player not learning from stronger players. Juidit Polgar pointed out in one interview how much better Hou Yifan could have been had she not played in so many "women's tournaments."

Hou Yifan played Tata four times and never finished in the top ten. Since 2015 she has played one women's event out of the 17 she participated in. Already in 2007 five of the six tournaments she played were open events and she was given the chance to play many top events compared to other players her rating. I don't think women players in general are underrated, but Ju has played well the first eight rounds here. She will be 33 next week while for example Hou Yifan still is in her 20s, so I don't think she will improve all that much but we will see.

You may be right. I don't know. Sometimes we want someone to do well and try every logic as to why they don't. I still believe too many people put too much status on chess as a means to prove one's worth. If women truly don't have the same aptitude for chess as men it doesn't change their worth one bit. Men and women excell in different fields and that doesn't make one inferior or superior to the other.