At a time when conquest and aggression have lost their credibility as means of solving difficult problems, qualities in which women are strong, such as the capacity to link intuition to the other rational processes, and facility with networking and cooperation, are gaining importance.
(Bahá’í International Community, 1993 Mar 15, Women Peace Process)

Her intuition enabled her to grasp the spiritual fact.
(‘Abdu’l-Bahá, ‘Abdu’l-Bahá in London, p. 104)

I begin to understand. I have brought with me the solution to every problem. There is no need to ask the Sphinx to unlock the gate of knowledge. All that I need to know, I know already. The Sphinx has one great message to proclaim to those who make pilgrimage to its feet. Tonight the message took this form: ‘Cease searching in the outer world to solve the mystery of life. Within yourself there is a chamber. It lies hidden at the end of a long, winding corridor. This chamber is your secret sanctuary. There you will find all that is needed by your soul. Stay with me awhile in silence, and
I will lead you to the door. The door is locked, but the key is in your hand. It has always been there, invisible, while you have ranged the wide world searching for it. ‘Use your own key. Retire within. I will not come beyond the threshold. In showing you the way, my task IS done. This is what the Sphinx said to me tonight. I believe it gives the same message, in a myriad ways, to each one who stands silently before it, listening.
(Wellesley Tudor Pole, SILENT ROAD: In the light of personal experience, http://bahai-library.com/pole_silent_road)

In some respects woman is superior to man. She is more tender-hearted, more receptive, her intuition is more intense.
(‘Abdu’l-Bahá, Paris Talks, p. 161)

The Word of God is the storehouse of all good, all power and all wisdom … It awakens within us that brilliant intuition which makes us independent of all tuition, and endows us with an all-embracing power of spiritual understanding.
(Compilations, Bahá’í Scriptures, p. 439)

The spiritually learned must be characterized by both inward and outward perfections; they must possess a good character, an enlightened nature, a pure intent, as well as intellectual power, brilliance and discernment, intuition, discretion and foresight, temperance, reverence, and a heartfelt fear of God.
(‘Abdu’l-Bahá, The Secret of Divine Civilization, p. 33)

The woman’s intuition is more correct; she is more receptive and her intelligence is quicker.
(‘Abdu’l-Bahá, ‘Abdu’l-Bahá in London, p. 104)

The world in the past has been ruled by force, and man has dominated over women by reason of his more forceful and aggressive qualities both of body and mind. But the balance is already shifting—force is losing its weight and mental alertness, intuition, and the spiritual qualities of love and service, in which woman is strong, are gaining ascendancy.
(‘Abdu’l-Bahá, Bahá’u’lláh and the New Era, p. 156)

True distinction among mankind is through divine bestowals and receiving the intuitions of the Holy Spirit.
(‘Abdu’l-Bahá, The Promulgation of Universal Peace, p. 316)

With regard to your question as to the value of intuition as a source of guidance for the
individual: implicit faith in our intuitive powers is unwise, but through daily prayer and
sustained effort one can discover, though not always and fully, God’s will intuitively. Under no circumstances, however, can a person be absolutely certain that he is recognizing God’s will, through the exercise of his intuition. It often happens that the latter results in completely misrepresenting the truth, and thus becomes a source of error rather than of guidance.
(From a letter dated 29 October 1938 written on behalf of the Guardian to
an individual believer)