Have name changed for this.
I watched the documentary, and I live on the outskirts of Cwmbrân, where Emily & family are from. In fact, I'm sure that I saw EB walking around Cwmbrân Shopping during the summer, but I digress.
The narrative was what you'd expect; that although British Cycling would allow EB to race as a female, UCI wouldn't. IIRC, it was British Cycling who refused to give EB a license to race as a female, but happy to be corrected. EB seemed to want to be the first successful transwoman cyclist which must be news to Veronika (sic) Ivy, who was quoted in the documentary.
Much was made of the impact that lowering EB's testosterone levels to under 5 nanomoles per litre had had on EB's competitive ability - two races were shown with poor results, but it wasn't made clear exactly when EB had started taking oestrogen.
EB made a comment about having seen a gender specialist, who I would guess to be our old friends the Webberleys, given that you can reach Abergavenny from Cwmbran in about half an hour. There was a lot of navel gazing, and woe is me moments, but a few things I found ironic. The incorrect spelling of Veronica Ivy's name, Sandra (EB's mum) calling the UCI "Bastards", and that during one segment about how it scared EB to have little privacy, journalists knocking at the family's front door etc, the full name of EB's step father was shown on a certificate on the mantelpiece.
I'm sure there's more that other people will have spotted, though.