(2) If a petition or motion alleges and the court finds that it is in the best interest of the minor that parental rights be terminated and the petition or motion requests that a guardian of the person be appointed and authorized to consent to the adoption of the minor, the court, with the consent of the parents, if living, or after finding, based upon clear and convincing evidence, that a parent is an unfit person as defined in Section 1 of the Adoption Act, may terminate parental rights and empower the guardian of the person of the minor, in the order appointing the guardian of the person of the minor as such guardian, to appear in court where any proceedings for the adoption of the minor may at any time be pending and to consent to the adoption. Such consent is sufficient to authorize the court in the adoption proceedings to enter a proper order or judgment of adoption without further notice to, or consent by, the parents of the minor. An order so empowering the guardian to consent to adoption deprives the parents of the minor of all legal rights as respects the minor and relieves them of all parental responsibility for the minor , and frees the minor from all obligations of maintenance and obedience to the minor's natural parents. If the minor is over 14 years of age, the court may, in its discretion, consider the wishes of the minor in determining whether the best interests of the minor would be promoted by the finding of the unfitness of a non-consenting parent.