It's the same in America, Canada, and every single other country where it's been examined. Transgender "women" commit more sex crimes per capita than any other segment of the population and it's not even remotely close. Most transgender "women" in prison are sex offenders.
When transgender "women" go to prison in America, they go to prisons known as drop-out yards, which are soft yards with no politics designed specifically for inmates who can't walk a regular prison yard, like sex offenders, rats, ex-law enforcement, gang dropouts, and "gender diverse" inmates. These yards are always filled to the brim with transgender "women", and they clique up with each other. The kinds of brutal prisons that you've seen in movies and TV shows are not the kinds of prisons where transgender "women" ever get sent to.
Where do you draw the line, by the way? Because, if transgender "women" must get sent to male prisons, then what is to stop any male rapist from simply identifying as a woman so that he can get sent to a women's prison? And yes, there are actual, documented cases of this happening.
Finally, have you ever wondered why no transgender "men" ever desire to get sent to male prisons? It's only the other way around. Gee, I wonder why.