JK Rowling got an award literally for a an essay against trans rights that isn't only riddled with transphobic bullshit and stereotypes, but is factually false throughout. From the fucking BBC

1) Complain. Absolutely fucking unacceptable

https://www.bbc.co.uk/contact/complaints/make-a-complaint/#/Complaint

2) once you get your complaint number and useless reply escalate to Ofcom. If the BBC is prepared to award something as openly transphobic as this then they aren't going to give a fuck https://www.ofcom.org.uk/complaints/complain-about-tv-radio-a-website

3) It is not an opinion to say JKR's anti-trans manifesto was factually incorrect. That is uncontroversially true. Here is a debunking I wrote, sourced throughout (her article has 0 sources) going through point by point https://katymontgomerie.medium.com/addressing-the-claims-in-jk-rowlings-justification-for-transphobia-7b6f761e8f8f

If anyone would be happy to share their complaint here it may help others