What is the connection between this and the trans movement, I don’t understand?
There isn't a direct connection at all, trans people are not paedophiles.
However, what is happening is that the 'umbrella' of LGBT etc is widening further all the time, but also at the same time, if something happens under that umbrella, it cannot be questioned because its 'homophobic' or 'transphobic'.
So people see 'drag kids' like Desmond is Amazing and Lactatia, doing totally inappropriate stuff - posing with completely naked adults, hanging out with convicted murderers, simulating snorting drugs, dancing for money in gay nightclubs- and they can't object because that is 'hate' and 'bigotry' because it has a rainbow attached to it.
Munroe Bergdorf invites children to DM them on Twitter, and when people suggest that that does not make Munroe a good ambassador for the NSPCC (private messaging kids, even completely innocently, is a massive safeguarding no no), its because they are 'transphobic bigots'.
Or a man dresses up in a gimp suit, films himself wanking in the toilets of the Uk's largest children's charity, which is also his workplace, and when people raise concerns that the NSPCC are wrong for not having him out in his ear immediately, it's 'bigotry' because the man happens to be gay.
You cant question 'Stefonknee' because it comes under the umbrella and that would be hatred.
You cant object to a drag queen called 'Flow Job' coming into a school, reading to the kids and then posting photos on their adult flavoured public social media without parents permission. To do so is 'bigotry' according to Mhairi Black. Or object to a drag queen reading in a library on the basis that they have memes about 'getting ur hole destroyed' on the same FB page they use to advertise their services to children as a storyteller. This is 'hate'.
I could go on forever here...
And what happens is that a 'sacred caste' is created, a group of people who cannot be questioned, because it would be hateful. This goes against everything that safeguarding tells us - first rule of safeguarding, no one should be free from doubt or questioning, no matter who they are.
Now what has history shown us happens when a group is created that can never be questioned? Catholic Church anyone? Jimmy Savile and friends?
It's not that particular people in the LGBT community are predators, it's that predators will see the LGBT rainbow umbrella, and see that it's totally free from accountability and decide that it is a very convenient way of hiding in plain sight.