The priest who marry Jennifer Lopez and Ben Affleck is sharing sweet insights regarding their close pre-marriage ceremony

In a discussion with PEOPLE, Ryan Wolfe, the lead minister at Grace Christian Center of Las Vegas

the couple had "their own commitments that they needed to impart to each other" 

during the unexpected service held at A Little White Wedding Chapel on Saturday night.

"It was a personal second they imparted to each other,"

 Wolfe says he and his kindred A Little White Wedding Chapel worker, wedding facilitator Kenosha Booth Portis

were beginning to quit for the day Lopez, 52, and Affleck, 49, pulled up in a SUV.

Minister Says Couple Exchanged 'Wonderful Words' During Vows