Christian celibacy lays down a clear distinction between sexuality and genitality. The celibate person is of course a sexual being and is called to rejoice in the wonder of his being, but with the grace of God and the discipline of a maturity, he does not stray into the area of genital sex. The lives of several Catholic saints tell of beautiful and holy celibate relationships between people like Francis de Sales and Jane de Chantal. Look up that delightful book: To Heaven with Diana -- the story of the two Dominicans, Jordan of Saxony, the successor of St Dominic and Blessed Diana. When he travelled to preach the Gospel, Jordan carried Diana in his heart and longed to get back to her. His love for her enabled him to be a loving presence to all he met on the way.
To everyone, single or married, cleric or lay, applies the basic text of Scripture: It is not good for man to be alone. That sacred word seems to go contrary to the one so many priests heard in the seminary: Nunquam solus cum sola-- Never be found alone with a woman!