Most crime is committed by biological males, including those who identify as transgender.
There seems to be a strong motivation for male sex offenders to change identity to erase their past. I remember some years ago reading about one man, he was the most dangerous prisoner in Australia or something? And the psychologists were saying he was trying to change gender to escape the unspeakable evil of his crimes. I haven't been able to find his details again though, Australia is quite strong on censoring this stuff.
One transgender murderer, Donna, formerly Douglas, Perry specifically murdered prostitutes because he (biologically, he's a he - you'd have to be a pretty sick and twisted fuck to refer to such an evil misogynist with the pronoun 'she') felt that they wouldn't be missed.
You can check transcrimeuk
FTM criminals are vanishingly rare, firstly because while there's clear incentive for long-term male psychos to try to change gender for special status in prison, nobody would try to go the other, secondly because female criminals are much more rare, and thirdly because the FTM criminals would be at risk of rape etc in male prison so nobody seriously proposes to put them there, whereas with the modern individualistic 'rights' culture, the rights of individual male criminals has often been seen as more important than those they might be in prison with.
transcrimeuk.com compiles offences committed by transgender people in the UK. It's not complete because often the transgender status may not be publicised.
Generally the anonymity of dangerous male prisoners who transition AFTER going to prison is highly likely to be protected. There was a case of a man who had committed some serious explosive offences and who sued over transgender status and won. www.independent.co.uk/news/uk/home-news/trangender-rights-gender-recognitions-exposives-womens-prisons-father-of-seven-david-gauke-a8586241.html
I don't think he has been named.
Jessica Winfield is an MTF prisoner who may be the longest-serving 'female' prisoner in the UK
He was "sentenced for life for brutally raping two females - one an underage child, the other the disabled daughter of a family friend. His crimes must have been exceptionally serious: he was sentenced in 1995 and it is highly unusual for anyone to spend 23 years in prison for rape."
Jessica was sent to a women prison and sick and twisted fucks at newspapers like the Independent tried to defend him www.independent.co.uk/news/uk/home-news/transgender-rapist-womens-prison-segregation-sexual-advances-inmates-sexual-assualt-a7932866.html
Separately, people who prioritise the rights of males claiming to be female over the safety of female prisoners also claimed that the tabloids had made up a story that Ian Huntley was ever considering identifying as a woman.
This 'they made it all up claim' was widely reported including by the BBC's Jeremy Vine, however what they did not mention was that there were two or possibly three separate stories more than twelve months apart with this claim, and only one of them was retracted, yet certain quarters 'unpublished' earlier reports based on claims that have NOT been retracted.
The current MTF prison situation is the result of two separate 'waves', if you will, firstly there was the case of Tara Hudson, who was a MTF prostitute who advertised a 'seven inch surprise' on sites specialising in 'chicks with dicks'. Tara Hudson has a string of convictions for assault and related offences, and was sent to prison in 2015 after racking up so many convictions for drunken and violent misbehaviour (the last knocking out the teeth of a male barman) that it would have been unconscionable NOT to imprison. Tara was presented in the media (Guardian/BBC) as a demure female 'makeup artist', the impression was given that Tara was raw meat being thrown to the lions in male prison. This whitewashing profile was a bit in conflict with the interviews with Tara a few weeks before in two different tabloid papers where Tara said 'I'm actually a bloke' and explained about being a transsexual porn star/prostitute.
In addition to this, there were a couple of suicides of transwomen in male prisons, namely by Vikki Thompson and Jenny Swift. Jenny Swift committed a brutal attack on a man, who later died, under the influence of crack, and expressed no remorse for the death. Neither inquest suggested that the prison location was the reason for the suicide, and indeed such suggestions in respect of suicide are quite dodgy from the point of view of reporting. Nonetheless, TRAs do not generally respect the principles of reporting suicide, and sought to weaponise it, with candlelit vigils for the two deceased.
The combination of the two suicides and the saturation reporting led the Prison Service to bring in new rules essentially making it easy for MTF prisoners to transfer to the female estate. Because Scotland is essentially the Gaelic wing of the Democratic party, they also brought in such rules designed to virtue signal as hard as possible that the poor ickle murderers were not being misgendered in prison.
After the English rules resulted in sexual assaults on women by Karen White, the government has walked back some of these changes, and there may be less appeal in transitioning.
So in summary - female crime isn't really an issue, nobody cares where FTM criminals go because they are only putting themselves at risk, MTF criminals BEFORE being sentenced likely commit crime at the same rate as normal male people, but AFTER being sentenced, there does appear to be a strong drive to change gender to erase past offending history, either in order to commit more crime, out of shame, to relieve a long prison sentence, for special privileges, or to get out of the main prison population where sex offenders are more at risk of assault.
There are cases of the victims of male sex criminals being forced to refer to their attackers as female, even though at the time of the offence the attacker was male.
www.mirror.co.uk/news/uk-news/victim-vile-bondage-paedophile-tells-8608834
www.dailymail.co.uk/news/article-6324851/Transgender-paedophile-treated-woman-crimes-committed-man.html
This is a similar case where the 15 year old female victim of sexual assault said 'She's quite powerful because she used to be a man, she's still got all that.'
www.getsurrey.co.uk/news/surrey-news/transgender-woman-bought-15-year-12775213