There is so much misinformation on this website and at places such as 'Fair Play For Women' that claims transgender rights effect women's rights. It is incorrect.
Firstly, nothing has proven that transgender women have the same crime rate as biological, cis men. It isn't biological and actually continuing this false narrative is allowing cis men to not take responsibility.
Secondly, Trans women and men pose no additional threat in prisons linked with their sex. They have been assaulted and abused to the same degree that they may have acted on which is why transgender wards are being put into place. However the issue isn't the fact TW or TM are in prisons assosiated with their gender, our prison systems aren't safe for anyone. That's what we should be concerned about and advocating for change within.
Thirdly, the bathroom debate. Transgender women have shown to pose no higher threat in single sex spaces than cisgender women. Meaning that denying their rights to use public bathrooms is unjustified. This actually is all recycled arguments from when lesbians and women of color wanted to use single sex spaces and wanted protection by the equality act for it.
And lastly, please stop believing everything you read online. A lot of the material made by the gender critical community is false. It is fabricated to scare you into believing them. Please take some time to do some research, speak to transgender people and learn that trans rights are not a debate.