Wanting Hak to lead instead or yona has nothing to do with misogyny people! The fandom is indeed filled with toxic feminism.
If you are a feminist that doesn’t mean you should hate men. Just because you’re defending a man with a good reason that doesn’t make you a misogynist, wtf.
Wanting Hak to lead is not about character preference, man or woman. Its to do with common sense! Whats best for the situation.
Hak has all the qualifications required. 
1. Studied for years under one of the strongest generals and with his “Genius” ex-bff who is one of the best war strategist.
2. Won against a powerful general at the young age of 13. Giving him the title thunderbeast.
3. Became a general of the wind tribe and general commander at the castle at the age of 15.
4. Trained and bonded with the kingdoms soldiers for years, Gaining their respect and trust.
5. He can keep up with the dragons as well as fight them head on, admitted by the dragons themselves.
6. Wins the respect and admiration of everyone who meets him.
7. Has the respect of the generals. Winning against the earth tribe general. Saving the water tribe generals daughter. Saving the fire tribe. Gaining the sky tribe general’s most childish jealousy.
8. Lead an army and won the battle. While proving that he himself is a one man army.
9. Inspiring the soldiers giving them strength and also was an example of strength they looked up to on the battle field.
10. Shocking and Getting the adviser to admit him being the strongest soldier of 100 years. And reminding him of the king.
11. Soowon made him his goal which alone says allot.
1. Few information she collected through her Journey that is barely a year
2. Survival skills that allows her to highkick a defenseless “priest” (cocky little 💩) and jump from a high distance. Hold her own till someone comes to save her.
3. Reincarnation of hirryu. Which concludes her strong will and inspirational spirit that attracts people.
6. Dominating a meeting filled with stupid greedy officials earning everyones respect.
Soowon made it clear many times he doesnt want the people to depend on hiryu. He wants to put his faith in humans and what better candidate than Hak? hiryu will not be there forever and i think we all know that about now. Yona didnt want the dragons to be involved in the war when she decided to come to the castle, if I remember correctly. yet everything is leading to them being the center of it all. 
Im not gonna jump the gun here and ama still hope that something changes. MC, ok i get it but never an excuse to defy logic.