It's just pride. I assume the theoretical woman is not one's spouse (in which case you are stuck, my friend!).
I don't mean to belittle women in saying this, but a woman who is truly in that frame of mind (meaning if she has hatred) will not submit to reason until she is humiliated. I use the word 'humiliated' because she cannot be humbled, as this requires some kind of insight, and if it existed she would not be jealous for long.
Men are naturally attuned to finding respect for those who are more capable than themselves, as this is necessary for survival. Many women lack this because they don't need it as much, and so in this situation they are doomed to a destructive end to the relationship. This can be averted but it's not easy.
A psychological trick, which is quite a good one to use, is to react in the opposite way that you would normally. For example, if you were a person who sought a woman's respect, then stop looking for it. Say it how it is - the simple truth (eg: "if you react like this every time I do a better job than you, then we are wasting our time!") - and walk away. If she cares enough she will accept, be humbled, and follow you (preferably through the doors of a Church, where you can both pray. If not, she will feel her wounded pride and storm off in her pride and anger, and you will have saved yourself a lifetime of avoidable suffering.