Some of her detractors are the ones making death threats. Of course I can hold them accountable for that. Not all, but the ones who throw around violence as a joke, 100%.

If you want to blame an increase of hate crimes in the UK on her, why did hate crimes against homosexuals also increase almost the same amount in this time?

An explanation from the article you linked:

The Home Office said the overall rise could be due to better recording by police - and fewer had been recorded under Covid restrictions in 2020-21.

As for Tavistock, it was sued by a former patient and is facing reform as fall out from that. The other article seem to be think peices without actual data.