If the above title sounds a little "inside baseball" to you, a (very, very, very brief) explanation. Alice von Hildebrand is a Catholic philosopher and theologian, and also the widow of Dietrich von Hildebrand, a prominent philosopher and moral theologian active in the anti-Nazi resistance, whose ethical analysis was greatly admired by Pope John Paul II. 
Christopher West is an American writer and popular lecturer known mainly for his exegesis of John Paul's "Theology of the Body," a look a human sexuality and sexual morality. Thus a critique by the redoubtable Alice von Hildebrand, even a polite one, is noteworthy. A sample:
Christopher West is convinced that prior to Theology of the Body—which he terms a “revolution”—Catholic teaching had presented "sex" as essentially dirty, betraying the true Christian understanding of sex. This is a thought Dietrich von Hildebrand would have strongly rejected. Accidental errors should never be identified with the Church’s essential teaching. Every epoch has its dangers, which need to be addressed, but always in a way which remains faithful to Catholic tradition.
Dietrich understood this principle well, when he challenged certain excesses (notfundamental truths) of Catholic teaching regarding marriage. Early in his days as a Catholic, he noticed a weakness: the whole emphasis was on procreation; the unitive dimension of marriage was either not mentioned, or not properly highlighted. Procreation was often given too much prominence because, in paganism, sensual pleasure had absolute and complete priority. Dietrich’s work on marriage helped redress the balance, by acknowledging (and fully supporting) the traditional teaching on procreation, while rediscovering the importance of love between spouses. This is an example of what we might call the “pedagogical” mission of the Church. She must constantly “sense” what Catholic truth needs to be highlighted, at a given time, and adjust the emphasis on Her holy teaching accordingly, but never fall prey to the fashions of the times, and remain faithful to the sacred deposit of faith.
Fixated, as he is, on the supposed plague of “Puritanism,” West promotes defective ideas to fight it. He recommends, for example, that we should stand naked in front of a mirror until we truly liberate ourselves from any feelings of “shame.” This is a piece of advice at which Dietrich von Hildebrand would have recoiled. Let me mention some reasons....
James Martin, SJ
I would like to know how much private correspondence occurred between von Hildebrand and West. Obviously, her essay is not a slight reproach. I would like to know if attempts had been made by her in the past to recommend the honing of both message and method before she chose to chastise West in this essay. It speaks either of a lack of dialogue on his part or an outright desire to humiliate on her part, and I hope that von Hildebrand had the charity to act as a result of the former rather than the latter. If she attempted to consult him before and a lack of response on his part led to this moment, then, perhaps, it is a fair critique.
I admire von Hildebrand for her message. I am curious to see how she and anyone with whom she works plan to implement Dietrich's thoughts so that it can be made accessible to people in places that would not seem at first glance to seem so academic. One might accuse West of dumbing down, but perhaps he considered such a move better than talking over heads.
We live in a hyper-sexualized age; but we cannot fight it by cloaking human sexuality in a veil of "mystery" and "reverence" which seems to be little more than an attempt to hide from its sweaty reality.
I don't doubt his sincerity, but speaking in the echo chambers that he tends to inhabit has resulted in the kind of overstatement and bastardization for which he is finally being criticized. Add to that the pressure to keep producing original and marketable books and CDs, and you can understand how he has come to this point. He might do well to break out of the narrow confines of the NFP cottage industry he has built for himself and start reading and thinking more broadly-and entering into dialogue with a wider set of people. He has obvious talents that shouldn't be wasted.
I also found Alice von Hildebrand's essay (of which I read only about 1/2 before I gave up) hard going. She raises some valid and stinging criticisms of both West and Popcack. (Sodomy? Really? A phallic Easter candle?) But she spent so much time talking about her late husband, whom she clearly adores, that the essay sounded more like a defense of Dietrich than a critique of West. Who was attacking von Hildebrand in the first place that she felt the need to stand up for him?
Finally, I agree with much of what David Cruz-Uribe wrote above. As is the case in so many disputes, in this one the truth lies somewhere between West's hyper-sexualization and von Hildebrand's overly pious reflections.
Is there something unholy about a bleeding placenta? If we can't talk about a bleeding placenta, does that mean we can't talk about God bleeding on a cross? You know, there's a LOT in medieval times that many might find shocking today; I wonder what von Hildebrand would say about it - for example, the infant Christ was at times depicted naked, with genitalia depicted; there was a greater focus on Jesus's circumcision, and even a devotion to Christ's foreskin (I think St. Catherine of Siena spoke of it as like a wedding ring - and she's a doctor of the Church) - I think there was even a votive Mass for Christ's foreskin. Didn't Michaelangelo also depict the resurrected Christ naked or something?
About a month ago on my Facebook profile I asked, ''Does anyone blush any more?'' The responses were interesting. Actually more responded ''yes'' than I had expected. That pleased me, because, although I've been married more than 30 years, I still blush from time to time. It happens when what I see or hear trespasses on or violates my sense of intimacy. I deny that I am a prude.