It is pointed out more than once here that danger is there and that one cannot really be sure when or where, and more importantly,
neither do these comments or Bishop Williamson's assertions deal with the fact that there is an issue of priestly invalidity or intent which the average faithful cannot easily determine for themselves, and thus there is doubt as to the Sacrament.
As such doubt always exists, a Catholic is forbidden by the Church to approach, and if one does so and does not confess it through their ignorance or outside counsel, then they will carry that sin and sacrilege into their next valid reception of the Holy Sacrament.
Beyond that is a more plain and relevant point, the lady in New York had a Traditional Mass which she was attending, and her desire to attend the false mass during the week was a matter of her desire not one of necessity. Therefore to give her excuse to imbibe in its poison because it suited her to do so was poor and unacceptable counsel. There was no religiously compelling need for her to do this, but she wanted to. She made this known to the Bishop beforehand.
None of her subjective observations nor any of Bishop Williamson's arguments which placated her, remove the doubts about the priests or their intentions. A layperson who is theologically untrained cannot make such vital objective determinations.
So one conciliar Catholic felt justified, whilst many thousands of Traditional Catholics around the world were scandalized and left in confusion. This was a very bad trade off here.
It would have been sounder advice to advocate attendance at an Orthodox Divine Liturgy as a means of emergency nourishment that to send her to a non-Catholic service with questionable validities and certain sacrilege.
The Catholic Religion in relation to its Sacraments rests upon the certainty of its approved rites and rituals which again, rest within the Divine Authority as Trent has codified by its decrees.
It does not make exceptions for the speculations, presumptions, and personal judgements of clerics or men.