Is it so the women's category is to protect them from the higher intelligence of men? then you may suggest women don't take math degrees or medicine? or you won't accept a female president since you can certainly have a more capable one among men? whatever argument you are trying to prove, it is nonsense to have gender segregation in sports, arts, science.
A wise man once said "I don’t like the term ‘woke’ because I hear, ‘Woke, woke, woke.’ It’s just a term they use, half the people can’t even define it, they don’t know what it is.”