Indeed. Not only that, but it was the man in Turing's experiment that was replaced with a machine, not the woman. Makes me wonder if the author only skimmed the first page of the twenty-eight page article.
While it is interesting that the analogous experiment that Turing starts with is about gender identification, he does this to make the point about separating physical characteristics from the intellect. He hopes that the reader will accept his premise that a man could pretend to be a woman under the condition that the interrogator can only ask questions remotely. If a reader can accept this, it clears the air a little about the conditions under which we could define a machine as "thinking" in the same way as a human does.