The Catholic Church teaches that homosexual persons are called to the love of chaste friendship. They are called to the union of friendship. They are not called to the union of marriage because marriage is not simply any union between any two persons. Marriage is the permanent union between one man and one woman who are called to become one flesh in the mutual gift of parenthood.
“The matrimonial covenant, by which a man and a woman establish between themselves a partnership of the whole of life, is by its nature ordered toward the good of the spouses and the procreation and education of offspring; this covenant between baptised persons has been raised by Christ the Lord to the dignity of a sacrament.” (CCC. n. 1601)
Alvin Hili makes a valid point concerning a tendency in some Catholic circles to look down on eros love as “sinful” while extolling agape love as the only love worth mentioning. His final question reminded me of the introductory arguments in Pope Benedict XVI’s first encyclical Deus caritas est (God is love):
“More significantly, though, we questioned whether the message of love proclaimed to us by the Bible and the Church’s Tradition has some points of contact with the common human experience of love, or whether it is opposed to that experience. This in turn led us to to consider two fundamental words: eros, as a term to indicate ‘worldly’ love and agape, referring to love grounded in and shaped by faith. The two notions are often contrasted as ‘ascending’ love and ‘descending’ love.
There are other, similar classifications, such as the distinction between possessive love and oblative love (amor concupiscentiae – amor benevolentiae), to which is sometimes also added love that seeks its own advantage. In philosophical and theological debate, these distinctions have often been radicalized to the point of establishing a clear antithesis between them: descending, oblative love—agape—would be typically Christian, while on the other hand ascending, possessive or covetous love —eros—would be typical of non-Christian, and particularly Greek culture.
Were this antithesis to be taken to extremes, the essence of Christianity would be detached from the vital relations fundamental to human existence, and would become a world apart, admirable perhaps, but decisively cut off from the complex fabric of human life. Yet eros and agape—ascending love and descending love—can never be completely separated. The more the two, in their different aspects, find a proper unity in the one reality of love, the more the true nature of love in general is realized.
Even if eros is at first mainly covetous and ascending, a fascination for the great promise of happiness, in drawing near to the other, it is less and less concerned with itself, increasingly seeks the happiness of the other, is concerned more and more with the beloved, bestows itself and wants to “be there for” the other. The element of agape thus enters into this love, for otherwise eros is impoverished and even loses its own nature. On the other hand, man cannot live by oblative, descending love alone. He cannot always give, he must also receive. Anyone who wishes to give love must also receive love as a gift. Certainly, as the Lord tells us, one can become a source from which rivers of living water flow (cf. Jn 7:37-38). Yet to become such a source, one must constantly drink anew from the original source, which is Jesus Christ, from whose pierced heart flows the love of God (cf. Jn 19:34)” (Deus caritas est  n. 7).
To this background I would quote the following teachings from the Catechism of the Catholic Church:
“Homosexual persons are called to chastity. By the virtues of self-mastery that teach them inner freedom, at times by the support of disinterested friendship, by prayer and sacramental grace, they can and should gradually and resolutely approach Christian perfection.” (CCC. n. 2359)
“The virtue of chastity comes under the cardinal virtue of temperance, which seeks to permeate the passions and appetites of the senses with reason. Self-mastery is a long and exacting work. One can never consider it acquired once and for all. It presupposes renewed effort at all stages of life. The effort required can be more intense in certain periods, such as when the personality is being formed during childhood and adolescence. Chastity has laws of growth which progress through stages marked by imperfection and too often by sin. “Man . . . day by day builds himself up through his many free decisions; and so he knows, loves, and accomplishes moral good by stages of growth.” (CCC. n. 2341-3)
“Charity is the form of all the virtues. Under its influence, chastity appears as a school of the gift of the person. Self-mastery is ordered to the gift of self. Chastity leads him who practices it to become a witness to his neighbor of God’s fidelity and loving kindness. The virtue of chastity blossoms in friendship. It shows the disciple how to follow and imitate him who has chosen us as his friends, who has given himself totally to us and allows us to participate in his divine estate. Chastity is a promise of immortality.” (CCC. n. 2346-7)
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