Bill W. and Silkworth in “The Dr.’s Opinion”
On the bottom of Big Book page XXVII where it says: "Later, he requested the privilege of being allowed to tell his story to other patients here and with some misgiving, we consented." was this Bill W. asking the favor of Dr. Silkworth?
Yes, the story told in The Doctor's Opinion was written by William Duncan Silkworth, M.D. who worked at the Charles B. Towns Hospital in New York City.
Bill is the fellow first described on page XXV in this paragraph:
In late 1934 I attended a patient who, though he had been a competent businessman3 of good earning capacity, was an alcoholic of a type I had come to regard as hopeless.
Later Bill told his story to other patients and A.A. began when he told Dr. Bob how he had found sobriety.