The phrase "discernment process" refers to the act of carefully considering and deciding on something, usually by taking the time to think about it and gather information before making a choice. Full definition
There are also a number of grandstanding moves he'd make to get publicity (e.g., ordaining an openly gay man to the priesthood in a very public PR blitz only to defrock the guy a few months later because Spong was so concerned about ordaining a gay candidate that he didn't bother to go through the necessary discernment process — this PR move really impacted some very qualified homosexual candidates who were all painted with the same brush.) (nakedpastor.com)
Even though we are not trying to reconcile scriptural prophecies with the message of the death, burial and resurrection of Jesus, the principle outlined in Acts 17 by the Bereans gives us hope that God can lead us through the discernment process in our information - saturated world. (relevantmagazine.com)
The document goes on to say that if, during the discernment process between a priest and a couple, the priest has a «reasonable doubt» about the validity of the first marriage, then the priest should advise the couple to seek a declaration of nullity. (firstthings.com)