Intuition is the immediate awareness of truth without the benefit of logic or mental reasoning. In a religious sense, it is the power of insight without conscious reasoning, typically attributed to a momentary divine or angelic gift.
Philosophically, it is an immensely problematic concept as it requires a special mental faculty of intuition, with no readily describable mechanism of causation for the knowledge thus acquired. Most attempts to preserve the objective truth of moral statements fall back on a form of intuitionism: the statement "Kindness is better than cruelty," for example, has massive intuitive appeal, even though the concepts within it defy meaningful empirical analysis.
Christians understand that Intuition is a gift from God. So when we learn to develop and strengthen it, it can help us steer clear of disastrous decisions and relationships. As intuition can be greatly enhanced by the Holy Spirit since he is the fountain of wisdom and understanding. And those who “walk in the Spirit” (Galatians 5:16, 25) have the privilege of God’s own perspective on many life decisions as he guides us through his Word. 
As Bertrand Russell put it: "I cannot see how to refute the arguments for the subjectivity of ethical values, but I find myself incapable of believing that all that is wrong with wanton cruelty is that I don't like it."  Albert Einstein was also a proponent of intuition, as he said "The intuitive mind is a sacred gift and the rational mind is a faithful servant. We have created a society that honors the servant and has forgotten the gift." 
Donald Trump is a big proponent of intuition and using that gut feeling. As Trump is one of the greatest intuitive political geniuses in history.  Intuition is also a value to many entrepreneurs such as Richard Branson, Steve Jobs, and Oprah Winfrey. 
- Philosophy, 1960, "Notes on Philosophy" http://uk.encarta.msn.com/quote_1861989747/Ethics_I_cannot_see_how_to_refute_the_arguments_for_the.html