This may be an odd choice of a word to explain a healthy relationship but when a man can "minister" to his love, he is caring for her in the most complete way.
As the authority on the subject of "her" he can attend to her emotional, mental and physical needs. He will know where to safeguard her and caution her while creating a safe and secure environment for her to simply "be".
He will focused on her well being and at the ready to fight for their love.
Can you imagine how rich this would feel, how satisfying?