(If anyone still cares) I got a response from the Executive Complaints Unit, having exhausted the initial BBC complaints procedure
Short version: there is no breach of standards, because my interpretation that the name of the artist is by definition offensive and demeaning is not accepted by the artist themselves. And Cheryl Tweedy/Cole herself apparently finds it flattering.
Full version below.
I'm going to have to contact Ofcom, aren't I? Otherwise I'm just giving up. Which is what they want.
'Thank you for your email to the Executive Complaints Unit, in which you raised your concerns about the inclusion of the drag queen Cheryl Hole in the above programme. You say their name is a “crude reference to women’s genitalia” via a word commonly used by misogynists to refer to women in a sexual sense, and is therefore inappropriate for inclusion in the show.
This unit considers complaints that BBC output has failed to meet the standards set out in the editorial guidelines. Those which are most relevant to your concerns are the guidelines on Harm and Offence/Portrayal, which say BBC output may reflect, but should not perpetuate, prejudice.
I have reviewed the programme with this and your complaint in mind. I appreciate you consider the name of the drag artist is by definition offensive and seeks to demean women. However, as you may know, that is not accepted by the artist themselves, who considers their work celebratory rather than mocking or objectifying. I appreciate you do not consider their rationale is relevant to your concerns, but it is also a fact that the act for whom they are named, Cheryl Tweedy (formerly Cheryl Cole) did not apparently perceive it as you did but considered herself flattered by their act and choice of name. While I can see it is open to the interpretation you have placed on it, it might reasonably be argued the second word (and any sexualisation connected with it) refers to the drag artist, who has previously made comedic references along those lines, rather than to Ms Tweedy. That would seem to reflect their self-mocking humour. I recognise you consider it a matter of fact this must refer to a woman’s body, but in light of the above it seems to me this falls some way short of being definitively sexist/objectifying. The fact a misogynist may use the word in the manner you set out does not show this is what happened here.
I hope this explains why, although I am sorry for the offence caused to you, it does not seem to me their inclusion in the programme would serve to perpetuate prejudice against women, which is the test set out in the guidelines. I do not therefore believe you have identified a breach of standards.'