When it is pushed by people within certain contexts it is 'left wing' agreed.
But people are complaining about just seeing or hearing presenters who use pronouns, or dress in clothes stereotypically associated with certain genders etc.
The point I am making is simply employing people to present on the radio or the news who chose to identify as Trans or dress gender alternatively is not automatically the BBC being 'left wing' neither does it mean those people are. It is employing people who, like it or not, make up the British population. As has been said, EVERYONE is compelled to pay the licence fee. So the BBC cannot jolly well not employ some of the people included in that demographic. Hosting a debate on what is a trending social issue also is not the BBC being left wing.
I strongly recall when all pro-gay conversation was perceived as 'left wing' but today no one would assume that merely featuring a gay person or a gay person presenting the radio or the news is automatically 'left wing' nor is say, debating gay marriage seens as strictly a left or right wing issue.
There has been an unwelcome and in my opinion a deliberate, strategy of focusing on identity which is highly emotive as opposed to the very critical problems of structural inequality, like class, the K economy, the deplorable situation where people are using food banks regularly, billionaires taking huge amounts of wealth the UK selling off vast amounts of it's assets abroad without scrutiny and the housing market being almost a rigged Ponzi scheme, the dangers of soft digital ID systems being implemented. The rise of cashless payment systems and so on.
The BBC the so called state broadcaster that supposedly serves all it's licence fee holders, addresses none of these things in any focused way, and in fact, has a disgusting record of perpetuating cycles of poverty by prosecuting overwhelming numbers of poor women, often immigrants or single parents or students who are less able to make a case for themselves, for not paying for the privilege of merely watching TV, whilst paying a few special people who work for it millions of pounds a year, which is why it's laughable that anyone calls it intrinsically left wing.
Debating trans issues is not left wing in and of itself. The debate is just being had. Has the BBC been partial or biased on the issue? Absolutely and it has been rightly called out on it. But the BBC is also biased on other topics, particularly when it comes to how it reports foreign conflicts for e.g. I find it to be pedalling towards the right increasingly and editing certain things when it wants to and leaving certain things in when it wants to. I honestly cannot watch it very much anymore. That's not to say it doesn't also produce great programming, it absolutely does. But I cannot choose what I pay for and that is the problem.