I think that for those living in community obedience is a greater virtue than chastity, however perfect. Chastity carries within it the danger of pride, but obedience has within it the promise of humility.
BROTHER: Behold, through what have the men of old triumphed? OLD MAN: Through the fervor of their supernatural love, and through the death of the corruptible man, and through the contempt for pride, and through the abatement of the belly, and through the fear of the judgement, and through the promise of certainty; through the desire for these glorious things the fathers have acquired in the soul the spiritual body.
Whenever we enter the church and draw near to the heavenly mysteries, we ought to approach with all humility and fear, both because of the presence of the angelic powers and out of the reverence due to the sacred oblation; for as the Angels are said to have stood by the Lord's body when it lay in the tomb, so we must believe that they are present in the celebration of the Mysteries of His most sacred Body at the time of consecration.
Once two brothers came to a certain old man. It was his custom not to eat every day but when he saw them he received them joyfully and said, 'A fast has its own reward, but he who eats for the sake of love fulfils two commandments: he leaves his own will and he refreshes his brothers.'
A treasure that is known is quickly spent: and even so any virtue that is commented on and made a public show of is destroyed. Even as wax is melted before the face of fire, so is the soul enfeebled by praise, and loses the toughness of its virtue.