This statement, highlighted in red suggests to me that you have not had an opportunity to read
Ordinatio Sacerdotalis, written by Pope John Paul II, and the related
Responsum ad Dubium (a clarification), written by the former Cardinal Ratzinger back in 1994 and 1995 respectively. The question is, how much time have you spent reflecting on why the Church’s position is what it is? This is a question I posed to a relative who has a PhD in sociology who took the same line as you did, but she was a lapsed Catholic. I suggested with all her schooling she should know better than to attack a position without first thoroughly studying that position. I would invite you to do the same and see where it leads. But, as I told her, you must also pray for the gift of understanding as well. It must be studied with a humble and open mind.
Anyone who is to study the subject with any seriousness, would start with the two documents I provided in the links above, then dissect any particular part of it to understand it better, in further discussion.
The Church has really never stated that it requires some kind of masculine skills. I wouldn’t even want to explain it here as it would take away from the fine job done by Pope John Paul II when he made a good effort to help Catholics understand the Church’s position.
A few comments above and beyond what JPII had to say though…
Some will argue that Jesus was merely being politically correct for his time in selecting only Men in his day. They claim that if he were here today, he would have chosen women, as well. This borders on heretical blasphemy if it is not outrightly so and here is why: God cannot be compelled to do anything because the act of being compelled suggests an imperfection. God would not be exercising perfect free will if he were compelled. Since God cannot be imperfect, He cannot be compelled, especially by imperfect beings such as ourselves.
Furthermore, since Jesus was God and because God is all knowing - that is, he knows all that happened in the past, all that happens as I write this, and all that will happen in the future - he could foresee the disquiet caused as a result of his only selecting Men at the time. If He had wanted women, He could easily have avoided the disquiet by selecting them as apostles back then, but He did not. Not his mother, not Mary Magdalen or any other prominent females of scripture. He broke the “PC” rules more than once, performing miracles on the Sabbath, for example, sitting to eat with a tax collector, and by simply being born into poverty. What would it have been to choose females to be among the apostles in his day?