I don't with much of that at all. We've been living versions of complementarian thinking around the world for thousands of years. It hadn't worked out well for women.

I also don't subscribe to "men are good at this and women are good at that so it's all good" kind of thinking.

Competition isn't inherently bad. In your scenario with the arrows, why is it that you see it as women competing against men rather than an individual who happens to be female competing against an individual who happens to be male. Presumably, in such a high level competition they are both skilled. You spoke about being allowed opportunities to gain skills and talents that sing to you, that call to you. So why do you shame her for becoming her best self because he had to get some kind of way with his feels about it?

Why can't we congratulate her on her skill and recognize the hours of practice she must have put in to hone such a talent?

I tell you this, any time you put a man's petty feelings above your opportunity, your best self, or your accomplishments not only will you lose that thing for yourself you will lose it for other women too.

Men's feelings are not your concern to manage. They are not children. Men are diminished by this thinking and women are denied chances in life.