I know of many female chefs of great repute and talent - and I know some very good female professors.
I don't see the link between "most good chefs are men" and "women should not be chefs". It's a bit like "no Black people ride at the front of the bus" and "Black people should not ride at the front of the bus" - you've conveniently assumed a level playing field where there likely is none, and you've also erroneously linked the current state of things to the ideal state of things.
As for the military - not being a military man I'm not sure I am qualified to comment... but are there not many more roles in the military that do not require the massive amounts of brawn that "only men" can provide?
I don't see the link between "most good chefs are men" and "women should not be chefs". It's a bit like "no Black people ride at the front of the bus" and "Black people should not ride at the front of the bus" - you've conveniently assumed a level playing field where there likely is none, and you've also erroneously linked the current state of things to the ideal state of things.
As for the military - not being a military man I'm not sure I am qualified to comment... but are there not many more roles in the military that do not require the massive amounts of brawn that "only men" can provide?