Q. 1. I was told that the soul has no gender. Is that true?
A. 1. On the matter of the soul, the Catechism of the Catholic Church (C.C.C.) states: "SOUL: The spiritual principle of human beings. The soul is the subject of human consciousness and freedom; soul and body together form one unique human nature. Each human soul is individual and immortal, immediately created by God. The soul does not die with the body, from which it is separated by death, and with which it will be reunited in the final resurrection (363, 366; cf. 1703)."
"In Sacred Scripture the term "soul" often refers to human life or the entire human person. But "soul" also refers to the innermost aspect of man, that which is of greatest value in him, that by which he is most especially in God's image: "soul" signifies the spiritual principle in man." [C.C.C. # 363]
"The Church teaches that every spiritual soul is created immediately by God - it is not "produced" by the parents - and also that it is immortal: it does not perish when it separates from the body at death, and it will be reunited with the body at the final Resurrection." [C.C.C. # 366]
When speaking on the subject of marriage in Heaven, Jesus made it clear that the souls will not marry in Heaven, nor be reunited with their earthly spouse(s). Humans will be as angels in Heaven. The angels are genderless, neither male, nor female. "At the resurrection people will neither marry nor be given in marriage; they will be like the angels in heaven." [Matthew 22:30] "When the dead rise, they will neither marry nor be given in marriage; they will be like the angels in heaven." [Mark 12:25]
The soul is a formless consciousness that requires a physical body in order to manifest itself on earth. When the soul is incarnated at conception, its original immaterial nature is embodied with flesh that is to become in the fullness of the image of God at birth in the physical world.